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Finding the Fourth Proportional to 15,281.87, 22,907.07 and 6,402.42

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Solution

The fourth proportional to 15,281.87, 22,907.07 and 6,402.42 is: 9,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,281.87 : 22,907.07 = 6,402.42 : x
  2. Step 2: Convert to fraction form
    15,281.87/22,907.07 = 6,402.42/x
  3. Step 3: Cross multiply
    15,281.87x = 22,907.07 × 6,402.42
  4. Step 4: Simplify right side
    15,281.87x = 146,660,683.11
  5. Step 5: Solve for x
    x = 146,660,683.11/15,281.87
  6. Step 6: Final answer
    x = 9,597.04

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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.