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Finding the Fourth Proportional to 24,234.60, 36,307.10 and 13,815.40

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Solution

The fourth proportional to 24,234.60, 36,307.10 and 13,815.40 is: 20,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,234.60 : 36,307.10 = 13,815.40 : x
  2. Step 2: Convert to fraction form
    24,234.60/36,307.10 = 13,815.40/x
  3. Step 3: Cross multiply
    24,234.60x = 36,307.10 × 13,815.40
  4. Step 4: Simplify right side
    24,234.60x = 501,597,109.34
  5. Step 5: Solve for x
    x = 501,597,109.34/24,234.60
  6. Step 6: Final answer
    x = 20,697.56

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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.