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Finding the Fourth Proportional to 16,148.70, 22,285.13 and 8,978.58

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Solution

The fourth proportional to 16,148.70, 22,285.13 and 8,978.58 is: 12,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.70 : 22,285.13 = 8,978.58 : x
  2. Step 2: Convert to fraction form
    16,148.70/22,285.13 = 8,978.58/x
  3. Step 3: Cross multiply
    16,148.70x = 22,285.13 × 8,978.58
  4. Step 4: Simplify right side
    16,148.70x = 200,088,777.62
  5. Step 5: Solve for x
    x = 200,088,777.62/16,148.70
  6. Step 6: Final answer
    x = 12,390.40

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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.