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Finding the Fourth Proportional to 24,534, 36,801.12 and 6,066

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Solution

The fourth proportional to 24,534, 36,801.12 and 6,066 is: 9,099.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534 : 36,801.12 = 6,066 : x
  2. Step 2: Convert to fraction form
    24,534/36,801.12 = 6,066/x
  3. Step 3: Cross multiply
    24,534x = 36,801.12 × 6,066
  4. Step 4: Simplify right side
    24,534x = 223,235,593.92
  5. Step 5: Solve for x
    x = 223,235,593.92/24,534
  6. Step 6: Final answer
    x = 9,099.03

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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.