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Finding the Fourth Proportional to 16,154.91, 22,291.47 and 8,984.34

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Solution

The fourth proportional to 16,154.91, 22,291.47 and 8,984.34 is: 12,397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.91 : 22,291.47 = 8,984.34 : x
  2. Step 2: Convert to fraction form
    16,154.91/22,291.47 = 8,984.34/x
  3. Step 3: Cross multiply
    16,154.91x = 22,291.47 × 8,984.34
  4. Step 4: Simplify right side
    16,154.91x = 200,274,145.58
  5. Step 5: Solve for x
    x = 200,274,145.58/16,154.91
  6. Step 6: Final answer
    x = 12,397.11

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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.