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Finding the Fourth Proportional to 24,259.08, 36,380.88 and 9,464.40

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Solution

The fourth proportional to 24,259.08, 36,380.88 and 9,464.40 is: 14,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,259.08 : 36,380.88 = 9,464.40 : x
  2. Step 2: Convert to fraction form
    24,259.08/36,380.88 = 9,464.40/x
  3. Step 3: Cross multiply
    24,259.08x = 36,380.88 × 9,464.40
  4. Step 4: Simplify right side
    24,259.08x = 344,323,200.67
  5. Step 5: Solve for x
    x = 344,323,200.67/24,259.08
  6. Step 6: Final answer
    x = 14,193.58

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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.