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Finding the Fourth Proportional to 24,829.63, 37,232.70 and 9,023.65

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Solution

The fourth proportional to 24,829.63, 37,232.70 and 9,023.65 is: 13,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.63 : 37,232.70 = 9,023.65 : x
  2. Step 2: Convert to fraction form
    24,829.63/37,232.70 = 9,023.65/x
  3. Step 3: Cross multiply
    24,829.63x = 37,232.70 × 9,023.65
  4. Step 4: Simplify right side
    24,829.63x = 335,974,853.36
  5. Step 5: Solve for x
    x = 335,974,853.36/24,829.63
  6. Step 6: Final answer
    x = 13,531.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.