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Finding the Fourth Proportional to 12,844.40, 17,718.03 and 7,538.20

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Solution

The fourth proportional to 12,844.40, 17,718.03 and 7,538.20 is: 10,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.40 : 17,718.03 = 7,538.20 : x
  2. Step 2: Convert to fraction form
    12,844.40/17,718.03 = 7,538.20/x
  3. Step 3: Cross multiply
    12,844.40x = 17,718.03 × 7,538.20
  4. Step 4: Simplify right side
    12,844.40x = 133,562,009.45
  5. Step 5: Solve for x
    x = 133,562,009.45/12,844.40
  6. Step 6: Final answer
    x = 10,398.47

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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.