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Finding the Fourth Proportional to 17,738.76, 24,482.34 and 10,569

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Solution

The fourth proportional to 17,738.76, 24,482.34 and 10,569 is: 14,586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.76 : 24,482.34 = 10,569 : x
  2. Step 2: Convert to fraction form
    17,738.76/24,482.34 = 10,569/x
  3. Step 3: Cross multiply
    17,738.76x = 24,482.34 × 10,569
  4. Step 4: Simplify right side
    17,738.76x = 258,753,851.46
  5. Step 5: Solve for x
    x = 258,753,851.46/17,738.76
  6. Step 6: Final answer
    x = 14,586.92

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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.