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Finding the Fourth Proportional to 24,677.79, 34,047 and 14,059.86

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Solution

The fourth proportional to 24,677.79, 34,047 and 14,059.86 is: 19,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677.79 : 34,047 = 14,059.86 : x
  2. Step 2: Convert to fraction form
    24,677.79/34,047 = 14,059.86/x
  3. Step 3: Cross multiply
    24,677.79x = 34,047 × 14,059.86
  4. Step 4: Simplify right side
    24,677.79x = 478,696,053.42
  5. Step 5: Solve for x
    x = 478,696,053.42/24,677.79
  6. Step 6: Final answer
    x = 19,397.85

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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.