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Finding the Fourth Proportional to 17,959.65, 24,784.35 and 10,407.44

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Solution

The fourth proportional to 17,959.65, 24,784.35 and 10,407.44 is: 14,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,959.65 : 24,784.35 = 10,407.44 : x
  2. Step 2: Convert to fraction form
    17,959.65/24,784.35 = 10,407.44/x
  3. Step 3: Cross multiply
    17,959.65x = 24,784.35 × 10,407.44
  4. Step 4: Simplify right side
    17,959.65x = 257,941,606.90
  5. Step 5: Solve for x
    x = 257,941,606.90/17,959.65
  6. Step 6: Final answer
    x = 14,362.29

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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.