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Finding the Fourth Proportional to 22,861.68, 31,539.78 and 14,901

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Solution

The fourth proportional to 22,861.68, 31,539.78 and 14,901 is: 20,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861.68 : 31,539.78 = 14,901 : x
  2. Step 2: Convert to fraction form
    22,861.68/31,539.78 = 14,901/x
  3. Step 3: Cross multiply
    22,861.68x = 31,539.78 × 14,901
  4. Step 4: Simplify right side
    22,861.68x = 469,974,261.78
  5. Step 5: Solve for x
    x = 469,974,261.78/22,861.68
  6. Step 6: Final answer
    x = 20,557.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.