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Finding the Fourth Proportional to 13,456.86, 18,570.90 and 8,419.47

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Solution

The fourth proportional to 13,456.86, 18,570.90 and 8,419.47 is: 11,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.86 : 18,570.90 = 8,419.47 : x
  2. Step 2: Convert to fraction form
    13,456.86/18,570.90 = 8,419.47/x
  3. Step 3: Cross multiply
    13,456.86x = 18,570.90 × 8,419.47
  4. Step 4: Simplify right side
    13,456.86x = 156,357,135.42
  5. Step 5: Solve for x
    x = 156,357,135.42/13,456.86
  6. Step 6: Final answer
    x = 11,619.14

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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.