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Finding the Fourth Proportional to 10,987.40, 16,442.70 and 10,065.80

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Solution

The fourth proportional to 10,987.40, 16,442.70 and 10,065.80 is: 15,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.40 : 16,442.70 = 10,065.80 : x
  2. Step 2: Convert to fraction form
    10,987.40/16,442.70 = 10,065.80/x
  3. Step 3: Cross multiply
    10,987.40x = 16,442.70 × 10,065.80
  4. Step 4: Simplify right side
    10,987.40x = 165,508,929.66
  5. Step 5: Solve for x
    x = 165,508,929.66/10,987.40
  6. Step 6: Final answer
    x = 15,063.52

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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.