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Finding the Fourth Proportional to 18,407.50, 25,402.62 and 10,024

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Solution

The fourth proportional to 18,407.50, 25,402.62 and 10,024 is: 13,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,407.50 : 25,402.62 = 10,024 : x
  2. Step 2: Convert to fraction form
    18,407.50/25,402.62 = 10,024/x
  3. Step 3: Cross multiply
    18,407.50x = 25,402.62 × 10,024
  4. Step 4: Simplify right side
    18,407.50x = 254,635,862.88
  5. Step 5: Solve for x
    x = 254,635,862.88/18,407.50
  6. Step 6: Final answer
    x = 13,833.27

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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.