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Finding the Fourth Proportional to 17,772, 24,527.52 and 10,320

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Solution

The fourth proportional to 17,772, 24,527.52 and 10,320 is: 14,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772 : 24,527.52 = 10,320 : x
  2. Step 2: Convert to fraction form
    17,772/24,527.52 = 10,320/x
  3. Step 3: Cross multiply
    17,772x = 24,527.52 × 10,320
  4. Step 4: Simplify right side
    17,772x = 253,124,006.40
  5. Step 5: Solve for x
    x = 253,124,006.40/17,772
  6. Step 6: Final answer
    x = 14,242.85

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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.