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Finding the Fourth Proportional to 16,038.76, 22,132.74 and 8,964.94

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Solution

The fourth proportional to 16,038.76, 22,132.74 and 8,964.94 is: 12,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.76 : 22,132.74 = 8,964.94 : x
  2. Step 2: Convert to fraction form
    16,038.76/22,132.74 = 8,964.94/x
  3. Step 3: Cross multiply
    16,038.76x = 22,132.74 × 8,964.94
  4. Step 4: Simplify right side
    16,038.76x = 198,418,686.14
  5. Step 5: Solve for x
    x = 198,418,686.14/16,038.76
  6. Step 6: Final answer
    x = 12,371.20

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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.