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Finding the Fourth Proportional to 35,637.86, 53,414.87 and 14,564.90

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Solution

The fourth proportional to 35,637.86, 53,414.87 and 14,564.90 is: 21,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,637.86 : 53,414.87 = 14,564.90 : x
  2. Step 2: Convert to fraction form
    35,637.86/53,414.87 = 14,564.90/x
  3. Step 3: Cross multiply
    35,637.86x = 53,414.87 × 14,564.90
  4. Step 4: Simplify right side
    35,637.86x = 777,981,900.16
  5. Step 5: Solve for x
    x = 777,981,900.16/35,637.86
  6. Step 6: Final answer
    x = 21,830.21

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