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Finding the Fourth Proportional to 16,881.70, 25,294.81 and 5,782.32

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Solution

The fourth proportional to 16,881.70, 25,294.81 and 5,782.32 is: 8,663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,881.70 : 25,294.81 = 5,782.32 : x
  2. Step 2: Convert to fraction form
    16,881.70/25,294.81 = 5,782.32/x
  3. Step 3: Cross multiply
    16,881.70x = 25,294.81 × 5,782.32
  4. Step 4: Simplify right side
    16,881.70x = 146,262,685.76
  5. Step 5: Solve for x
    x = 146,262,685.76/16,881.70
  6. Step 6: Final answer
    x = 8,663.98

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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.