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Finding the Fourth Proportional to 13,508.16, 18,641.20 and 7,539.48

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Solution

The fourth proportional to 13,508.16, 18,641.20 and 7,539.48 is: 10,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.16 : 18,641.20 = 7,539.48 : x
  2. Step 2: Convert to fraction form
    13,508.16/18,641.20 = 7,539.48/x
  3. Step 3: Cross multiply
    13,508.16x = 18,641.20 × 7,539.48
  4. Step 4: Simplify right side
    13,508.16x = 140,544,954.58
  5. Step 5: Solve for x
    x = 140,544,954.58/13,508.16
  6. Step 6: Final answer
    x = 10,404.45

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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.