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Finding the Fourth Proportional to 13,387.89, 18,475.25 and 7,419.50

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Solution

The fourth proportional to 13,387.89, 18,475.25 and 7,419.50 is: 10,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.89 : 18,475.25 = 7,419.50 : x
  2. Step 2: Convert to fraction form
    13,387.89/18,475.25 = 7,419.50/x
  3. Step 3: Cross multiply
    13,387.89x = 18,475.25 × 7,419.50
  4. Step 4: Simplify right side
    13,387.89x = 137,076,987.90
  5. Step 5: Solve for x
    x = 137,076,987.90/13,387.89
  6. Step 6: Final answer
    x = 10,238.88

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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.