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Finding the Fourth Proportional to 15,732.75, 21,710.78 and 8,562.80

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Solution

The fourth proportional to 15,732.75, 21,710.78 and 8,562.80 is: 11,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.75 : 21,710.78 = 8,562.80 : x
  2. Step 2: Convert to fraction form
    15,732.75/21,710.78 = 8,562.80/x
  3. Step 3: Cross multiply
    15,732.75x = 21,710.78 × 8,562.80
  4. Step 4: Simplify right side
    15,732.75x = 185,905,066.98
  5. Step 5: Solve for x
    x = 185,905,066.98/15,732.75
  6. Step 6: Final answer
    x = 11,816.44

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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.