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Finding the Fourth Proportional to 17,730.32, 24,468.36 and 9,772.64

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Solution

The fourth proportional to 17,730.32, 24,468.36 and 9,772.64 is: 13,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.32 : 24,468.36 = 9,772.64 : x
  2. Step 2: Convert to fraction form
    17,730.32/24,468.36 = 9,772.64/x
  3. Step 3: Cross multiply
    17,730.32x = 24,468.36 × 9,772.64
  4. Step 4: Simplify right side
    17,730.32x = 239,120,473.67
  5. Step 5: Solve for x
    x = 239,120,473.67/17,730.32
  6. Step 6: Final answer
    x = 13,486.53

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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.