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Finding the Fourth Proportional to 16,038.81, 22,134.03 and 8,965.25

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Solution

The fourth proportional to 16,038.81, 22,134.03 and 8,965.25 is: 12,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.81 : 22,134.03 = 8,965.25 : x
  2. Step 2: Convert to fraction form
    16,038.81/22,134.03 = 8,965.25/x
  3. Step 3: Cross multiply
    16,038.81x = 22,134.03 × 8,965.25
  4. Step 4: Simplify right side
    16,038.81x = 198,437,112.46
  5. Step 5: Solve for x
    x = 198,437,112.46/16,038.81
  6. Step 6: Final answer
    x = 12,372.31

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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.