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Finding the Fourth Proportional to 17,701.20, 24,415.02 and 11,407.50

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Solution

The fourth proportional to 17,701.20, 24,415.02 and 11,407.50 is: 15,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.20 : 24,415.02 = 11,407.50 : x
  2. Step 2: Convert to fraction form
    17,701.20/24,415.02 = 11,407.50/x
  3. Step 3: Cross multiply
    17,701.20x = 24,415.02 × 11,407.50
  4. Step 4: Simplify right side
    17,701.20x = 278,514,340.65
  5. Step 5: Solve for x
    x = 278,514,340.65/17,701.20
  6. Step 6: Final answer
    x = 15,734.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.