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Finding the Fourth Proportional to 13,585.99, 20,348.88 and 10,442.85

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Solution

The fourth proportional to 13,585.99, 20,348.88 and 10,442.85 is: 15,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.99 : 20,348.88 = 10,442.85 : x
  2. Step 2: Convert to fraction form
    13,585.99/20,348.88 = 10,442.85/x
  3. Step 3: Cross multiply
    13,585.99x = 20,348.88 × 10,442.85
  4. Step 4: Simplify right side
    13,585.99x = 212,500,249.29
  5. Step 5: Solve for x
    x = 212,500,249.29/13,585.99
  6. Step 6: Final answer
    x = 15,641.13

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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.