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Finding the Fourth Proportional to 13,374.48, 18,456.98 and 7,406.14

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Solution

The fourth proportional to 13,374.48, 18,456.98 and 7,406.14 is: 10,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.48 : 18,456.98 = 7,406.14 : x
  2. Step 2: Convert to fraction form
    13,374.48/18,456.98 = 7,406.14/x
  3. Step 3: Cross multiply
    13,374.48x = 18,456.98 × 7,406.14
  4. Step 4: Simplify right side
    13,374.48x = 136,694,977.86
  5. Step 5: Solve for x
    x = 136,694,977.86/13,374.48
  6. Step 6: Final answer
    x = 10,220.58

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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.