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Finding the Fourth Proportional to 16,038.50, 22,144.07 and 9,761.81

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Solution

The fourth proportional to 16,038.50, 22,144.07 and 9,761.81 is: 13,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.50 : 22,144.07 = 9,761.81 : x
  2. Step 2: Convert to fraction form
    16,038.50/22,144.07 = 9,761.81/x
  3. Step 3: Cross multiply
    16,038.50x = 22,144.07 × 9,761.81
  4. Step 4: Simplify right side
    16,038.50x = 216,166,155.16
  5. Step 5: Solve for x
    x = 216,166,155.16/16,038.50
  6. Step 6: Final answer
    x = 13,477.95

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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.