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Finding the Fourth Proportional to 16,038.05, 22,132.53 and 8,964.46

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Solution

The fourth proportional to 16,038.05, 22,132.53 and 8,964.46 is: 12,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.05 : 22,132.53 = 8,964.46 : x
  2. Step 2: Convert to fraction form
    16,038.05/22,132.53 = 8,964.46/x
  3. Step 3: Cross multiply
    16,038.05x = 22,132.53 × 8,964.46
  4. Step 4: Simplify right side
    16,038.05x = 198,406,207.55
  5. Step 5: Solve for x
    x = 198,406,207.55/16,038.05
  6. Step 6: Final answer
    x = 12,370.97

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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.