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Finding the Fourth Proportional to 11,205.40, 15,470.12 and 9,959.80

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Solution

The fourth proportional to 11,205.40, 15,470.12 and 9,959.80 is: 13,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.40 : 15,470.12 = 9,959.80 : x
  2. Step 2: Convert to fraction form
    11,205.40/15,470.12 = 9,959.80/x
  3. Step 3: Cross multiply
    11,205.40x = 15,470.12 × 9,959.80
  4. Step 4: Simplify right side
    11,205.40x = 154,079,301.18
  5. Step 5: Solve for x
    x = 154,079,301.18/11,205.40
  6. Step 6: Final answer
    x = 13,750.45

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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.