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Finding the Fourth Proportional to 23,259.28, 32,097.58 and 12,649

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Solution

The fourth proportional to 23,259.28, 32,097.58 and 12,649 is: 17,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,259.28 : 32,097.58 = 12,649 : x
  2. Step 2: Convert to fraction form
    23,259.28/32,097.58 = 12,649/x
  3. Step 3: Cross multiply
    23,259.28x = 32,097.58 × 12,649
  4. Step 4: Simplify right side
    23,259.28x = 406,002,289.42
  5. Step 5: Solve for x
    x = 406,002,289.42/23,259.28
  6. Step 6: Final answer
    x = 17,455.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.