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Finding the Fourth Proportional to 13,508.54, 20,248.94 and 5,186.31

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Solution

The fourth proportional to 13,508.54, 20,248.94 and 5,186.31 is: 7,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.54 : 20,248.94 = 5,186.31 : x
  2. Step 2: Convert to fraction form
    13,508.54/20,248.94 = 5,186.31/x
  3. Step 3: Cross multiply
    13,508.54x = 20,248.94 × 5,186.31
  4. Step 4: Simplify right side
    13,508.54x = 105,017,254.08
  5. Step 5: Solve for x
    x = 105,017,254.08/13,508.54
  6. Step 6: Final answer
    x = 7,774.14

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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.