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Finding the Fourth Proportional to 15,241.68, 22,867.20 and 6,476.40

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Solution

The fourth proportional to 15,241.68, 22,867.20 and 6,476.40 is: 9,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,241.68 : 22,867.20 = 6,476.40 : x
  2. Step 2: Convert to fraction form
    15,241.68/22,867.20 = 6,476.40/x
  3. Step 3: Cross multiply
    15,241.68x = 22,867.20 × 6,476.40
  4. Step 4: Simplify right side
    15,241.68x = 148,097,134.08
  5. Step 5: Solve for x
    x = 148,097,134.08/15,241.68
  6. Step 6: Final answer
    x = 9,716.59

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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.