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Finding the Fourth Proportional to 20,117.59, 30,179.04 and 7,465.60

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Solution

The fourth proportional to 20,117.59, 30,179.04 and 7,465.60 is: 11,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.59 : 30,179.04 = 7,465.60 : x
  2. Step 2: Convert to fraction form
    20,117.59/30,179.04 = 7,465.60/x
  3. Step 3: Cross multiply
    20,117.59x = 30,179.04 × 7,465.60
  4. Step 4: Simplify right side
    20,117.59x = 225,304,641.02
  5. Step 5: Solve for x
    x = 225,304,641.02/20,117.59
  6. Step 6: Final answer
    x = 11,199.39

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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.