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Finding the Fourth Proportional to 16,456.40, 22,709.78 and 8,902.63

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Solution

The fourth proportional to 16,456.40, 22,709.78 and 8,902.63 is: 12,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.40 : 22,709.78 = 8,902.63 : x
  2. Step 2: Convert to fraction form
    16,456.40/22,709.78 = 8,902.63/x
  3. Step 3: Cross multiply
    16,456.40x = 22,709.78 × 8,902.63
  4. Step 4: Simplify right side
    16,456.40x = 202,176,655.17
  5. Step 5: Solve for x
    x = 202,176,655.17/16,456.40
  6. Step 6: Final answer
    x = 12,285.60

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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.