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Finding the Fourth Proportional to 24,442.16, 36,676 and 13,346.78

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Solution

The fourth proportional to 24,442.16, 36,676 and 13,346.78 is: 20,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442.16 : 36,676 = 13,346.78 : x
  2. Step 2: Convert to fraction form
    24,442.16/36,676 = 13,346.78/x
  3. Step 3: Cross multiply
    24,442.16x = 36,676 × 13,346.78
  4. Step 4: Simplify right side
    24,442.16x = 489,506,503.28
  5. Step 5: Solve for x
    x = 489,506,503.28/24,442.16
  6. Step 6: Final answer
    x = 20,027.14

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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.