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Finding the Fourth Proportional to 24,061, 36,088.78 and 7,419.64

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Solution

The fourth proportional to 24,061, 36,088.78 and 7,419.64 is: 11,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,061 : 36,088.78 = 7,419.64 : x
  2. Step 2: Convert to fraction form
    24,061/36,088.78 = 7,419.64/x
  3. Step 3: Cross multiply
    24,061x = 36,088.78 × 7,419.64
  4. Step 4: Simplify right side
    24,061x = 267,765,755.64
  5. Step 5: Solve for x
    x = 267,765,755.64/24,061
  6. Step 6: Final answer
    x = 11,128.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.