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Finding the Fourth Proportional to 17,730.52, 24,290.71 and 17,065.78

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Solution

The fourth proportional to 17,730.52, 24,290.71 and 17,065.78 is: 23,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.52 : 24,290.71 = 17,065.78 : x
  2. Step 2: Convert to fraction form
    17,730.52/24,290.71 = 17,065.78/x
  3. Step 3: Cross multiply
    17,730.52x = 24,290.71 × 17,065.78
  4. Step 4: Simplify right side
    17,730.52x = 414,539,955.57
  5. Step 5: Solve for x
    x = 414,539,955.57/17,730.52
  6. Step 6: Final answer
    x = 23,380.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.