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Finding the Fourth Proportional to 17,913.65, 24,722.81 and 10,257.66

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Solution

The fourth proportional to 17,913.65, 24,722.81 and 10,257.66 is: 14,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,913.65 : 24,722.81 = 10,257.66 : x
  2. Step 2: Convert to fraction form
    17,913.65/24,722.81 = 10,257.66/x
  3. Step 3: Cross multiply
    17,913.65x = 24,722.81 × 10,257.66
  4. Step 4: Simplify right side
    17,913.65x = 253,598,127.94
  5. Step 5: Solve for x
    x = 253,598,127.94/17,913.65
  6. Step 6: Final answer
    x = 14,156.70

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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.