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Finding the Fourth Proportional to 12,681.28, 17,497.20 and 7,644.16

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Solution

The fourth proportional to 12,681.28, 17,497.20 and 7,644.16 is: 10,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.28 : 17,497.20 = 7,644.16 : x
  2. Step 2: Convert to fraction form
    12,681.28/17,497.20 = 7,644.16/x
  3. Step 3: Cross multiply
    12,681.28x = 17,497.20 × 7,644.16
  4. Step 4: Simplify right side
    12,681.28x = 133,751,396.35
  5. Step 5: Solve for x
    x = 133,751,396.35/12,681.28
  6. Step 6: Final answer
    x = 10,547.15

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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.