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Finding the Fourth Proportional to 12,711.60, 19,045.80 and 10,508.40

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Solution

The fourth proportional to 12,711.60, 19,045.80 and 10,508.40 is: 15,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.60 : 19,045.80 = 10,508.40 : x
  2. Step 2: Convert to fraction form
    12,711.60/19,045.80 = 10,508.40/x
  3. Step 3: Cross multiply
    12,711.60x = 19,045.80 × 10,508.40
  4. Step 4: Simplify right side
    12,711.60x = 200,140,884.72
  5. Step 5: Solve for x
    x = 200,140,884.72/12,711.60
  6. Step 6: Final answer
    x = 15,744.74

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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.