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Finding the Fourth Proportional to 17,730.80, 24,468.57 and 10,657.34

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Solution

The fourth proportional to 17,730.80, 24,468.57 and 10,657.34 is: 14,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.80 : 24,468.57 = 10,657.34 : x
  2. Step 2: Convert to fraction form
    17,730.80/24,468.57 = 10,657.34/x
  3. Step 3: Cross multiply
    17,730.80x = 24,468.57 × 10,657.34
  4. Step 4: Simplify right side
    17,730.80x = 260,769,869.80
  5. Step 5: Solve for x
    x = 260,769,869.80/17,730.80
  6. Step 6: Final answer
    x = 14,707.17

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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.