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Finding the Fourth Proportional to 20,117.53, 30,186.35 and 9,032.11

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Solution

The fourth proportional to 20,117.53, 30,186.35 and 9,032.11 is: 13,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.53 : 30,186.35 = 9,032.11 : x
  2. Step 2: Convert to fraction form
    20,117.53/30,186.35 = 9,032.11/x
  3. Step 3: Cross multiply
    20,117.53x = 30,186.35 × 9,032.11
  4. Step 4: Simplify right side
    20,117.53x = 272,646,433.70
  5. Step 5: Solve for x
    x = 272,646,433.70/20,117.53
  6. Step 6: Final answer
    x = 13,552.68

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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.