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Finding the Fourth Proportional to 12,564.03, 17,340.60 and 9,393.24

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Solution

The fourth proportional to 12,564.03, 17,340.60 and 9,393.24 is: 12,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.03 : 17,340.60 = 9,393.24 : x
  2. Step 2: Convert to fraction form
    12,564.03/17,340.60 = 9,393.24/x
  3. Step 3: Cross multiply
    12,564.03x = 17,340.60 × 9,393.24
  4. Step 4: Simplify right side
    12,564.03x = 162,884,417.54
  5. Step 5: Solve for x
    x = 162,884,417.54/12,564.03
  6. Step 6: Final answer
    x = 12,964.34

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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.