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Finding the Fourth Proportional to 24,491.60, 36,737.40 and 6,023.60

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Solution

The fourth proportional to 24,491.60, 36,737.40 and 6,023.60 is: 9,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,491.60 : 36,737.40 = 6,023.60 : x
  2. Step 2: Convert to fraction form
    24,491.60/36,737.40 = 6,023.60/x
  3. Step 3: Cross multiply
    24,491.60x = 36,737.40 × 6,023.60
  4. Step 4: Simplify right side
    24,491.60x = 221,291,402.64
  5. Step 5: Solve for x
    x = 221,291,402.64/24,491.60
  6. Step 6: Final answer
    x = 9,035.40

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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.