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Finding the Fourth Proportional to 18,407.52, 25,402.14 and 10,024.02

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Solution

The fourth proportional to 18,407.52, 25,402.14 and 10,024.02 is: 13,833.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,407.52 : 25,402.14 = 10,024.02 : x
  2. Step 2: Convert to fraction form
    18,407.52/25,402.14 = 10,024.02/x
  3. Step 3: Cross multiply
    18,407.52x = 25,402.14 × 10,024.02
  4. Step 4: Simplify right side
    18,407.52x = 254,631,559.40
  5. Step 5: Solve for x
    x = 254,631,559.40/18,407.52
  6. Step 6: Final answer
    x = 13,833.02

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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.