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Finding the Fourth Proportional to 21,052.18, 31,566.66 and 8,569

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Solution

The fourth proportional to 21,052.18, 31,566.66 and 8,569 is: 12,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,052.18 : 31,566.66 = 8,569 : x
  2. Step 2: Convert to fraction form
    21,052.18/31,566.66 = 8,569/x
  3. Step 3: Cross multiply
    21,052.18x = 31,566.66 × 8,569
  4. Step 4: Simplify right side
    21,052.18x = 270,494,709.54
  5. Step 5: Solve for x
    x = 270,494,709.54/21,052.18
  6. Step 6: Final answer
    x = 12,848.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.