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Finding the Fourth Proportional to 15,533.90, 23,279.12 and 8,402.74

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Solution

The fourth proportional to 15,533.90, 23,279.12 and 8,402.74 is: 12,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.90 : 23,279.12 = 8,402.74 : x
  2. Step 2: Convert to fraction form
    15,533.90/23,279.12 = 8,402.74/x
  3. Step 3: Cross multiply
    15,533.90x = 23,279.12 × 8,402.74
  4. Step 4: Simplify right side
    15,533.90x = 195,608,355.60
  5. Step 5: Solve for x
    x = 195,608,355.60/15,533.90
  6. Step 6: Final answer
    x = 12,592.36

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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.