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Finding the Fourth Proportional to 17,701.64, 24,428.84 and 10,149.40

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Solution

The fourth proportional to 17,701.64, 24,428.84 and 10,149.40 is: 14,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.64 : 24,428.84 = 10,149.40 : x
  2. Step 2: Convert to fraction form
    17,701.64/24,428.84 = 10,149.40/x
  3. Step 3: Cross multiply
    17,701.64x = 24,428.84 × 10,149.40
  4. Step 4: Simplify right side
    17,701.64x = 247,938,068.70
  5. Step 5: Solve for x
    x = 247,938,068.70/17,701.64
  6. Step 6: Final answer
    x = 14,006.50

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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.