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Finding the Fourth Proportional to 12,947.20, 17,851.20 and 9,585.28

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Solution

The fourth proportional to 12,947.20, 17,851.20 and 9,585.28 is: 13,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.20 : 17,851.20 = 9,585.28 : x
  2. Step 2: Convert to fraction form
    12,947.20/17,851.20 = 9,585.28/x
  3. Step 3: Cross multiply
    12,947.20x = 17,851.20 × 9,585.28
  4. Step 4: Simplify right side
    12,947.20x = 171,108,750.34
  5. Step 5: Solve for x
    x = 171,108,750.34/12,947.20
  6. Step 6: Final answer
    x = 13,215.89

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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.