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Finding the Fourth Proportional to 16,476.13, 22,738.70 and 9,403.62

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Solution

The fourth proportional to 16,476.13, 22,738.70 and 9,403.62 is: 12,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.13 : 22,738.70 = 9,403.62 : x
  2. Step 2: Convert to fraction form
    16,476.13/22,738.70 = 9,403.62/x
  3. Step 3: Cross multiply
    16,476.13x = 22,738.70 × 9,403.62
  4. Step 4: Simplify right side
    16,476.13x = 213,826,047.08
  5. Step 5: Solve for x
    x = 213,826,047.08/16,476.13
  6. Step 6: Final answer
    x = 12,977.93

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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.