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Finding the Fourth Proportional to 17,730.54, 24,468.24 and 9,772.62

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Solution

The fourth proportional to 17,730.54, 24,468.24 and 9,772.62 is: 13,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.54 : 24,468.24 = 9,772.62 : x
  2. Step 2: Convert to fraction form
    17,730.54/24,468.24 = 9,772.62/x
  3. Step 3: Cross multiply
    17,730.54x = 24,468.24 × 9,772.62
  4. Step 4: Simplify right side
    17,730.54x = 239,118,811.59
  5. Step 5: Solve for x
    x = 239,118,811.59/17,730.54
  6. Step 6: Final answer
    x = 13,486.27

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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.