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Finding the Fourth Proportional to 24,228.90, 36,339.12 and 6,459.78

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Solution

The fourth proportional to 24,228.90, 36,339.12 and 6,459.78 is: 9,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228.90 : 36,339.12 = 6,459.78 : x
  2. Step 2: Convert to fraction form
    24,228.90/36,339.12 = 6,459.78/x
  3. Step 3: Cross multiply
    24,228.90x = 36,339.12 × 6,459.78
  4. Step 4: Simplify right side
    24,228.90x = 234,742,720.59
  5. Step 5: Solve for x
    x = 234,742,720.59/24,228.90
  6. Step 6: Final answer
    x = 9,688.54

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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.