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Finding the Fourth Proportional to 14,560.91, 21,831.12 and 5,669.39

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Solution

The fourth proportional to 14,560.91, 21,831.12 and 5,669.39 is: 8,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.91 : 21,831.12 = 5,669.39 : x
  2. Step 2: Convert to fraction form
    14,560.91/21,831.12 = 5,669.39/x
  3. Step 3: Cross multiply
    14,560.91x = 21,831.12 × 5,669.39
  4. Step 4: Simplify right side
    14,560.91x = 123,769,187.99
  5. Step 5: Solve for x
    x = 123,769,187.99/14,560.91
  6. Step 6: Final answer
    x = 8,500.10

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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.