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Finding the Fourth Proportional to 13,387.86, 18,475.29 and 7,419.63

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Solution

The fourth proportional to 13,387.86, 18,475.29 and 7,419.63 is: 10,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.86 : 18,475.29 = 7,419.63 : x
  2. Step 2: Convert to fraction form
    13,387.86/18,475.29 = 7,419.63/x
  3. Step 3: Cross multiply
    13,387.86x = 18,475.29 × 7,419.63
  4. Step 4: Simplify right side
    13,387.86x = 137,079,729.34
  5. Step 5: Solve for x
    x = 137,079,729.34/13,387.86
  6. Step 6: Final answer
    x = 10,239.11

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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.