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Finding the Fourth Proportional to 16,470.75, 22,729.65 and 9,399.45

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Solution

The fourth proportional to 16,470.75, 22,729.65 and 9,399.45 is: 12,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.75 : 22,729.65 = 9,399.45 : x
  2. Step 2: Convert to fraction form
    16,470.75/22,729.65 = 9,399.45/x
  3. Step 3: Cross multiply
    16,470.75x = 22,729.65 × 9,399.45
  4. Step 4: Simplify right side
    16,470.75x = 213,646,208.69
  5. Step 5: Solve for x
    x = 213,646,208.69/16,470.75
  6. Step 6: Final answer
    x = 12,971.25

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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.