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Finding the Fourth Proportional to 10,046.69, 15,084.74 and 9,869.52

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Solution

The fourth proportional to 10,046.69, 15,084.74 and 9,869.52 is: 14,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.69 : 15,084.74 = 9,869.52 : x
  2. Step 2: Convert to fraction form
    10,046.69/15,084.74 = 9,869.52/x
  3. Step 3: Cross multiply
    10,046.69x = 15,084.74 × 9,869.52
  4. Step 4: Simplify right side
    10,046.69x = 148,879,167.80
  5. Step 5: Solve for x
    x = 148,879,167.80/10,046.69
  6. Step 6: Final answer
    x = 14,818.74

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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.