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Finding the Fourth Proportional to 12,681.50, 17,501.78 and 7,304.12

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Solution

The fourth proportional to 12,681.50, 17,501.78 and 7,304.12 is: 10,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.50 : 17,501.78 = 7,304.12 : x
  2. Step 2: Convert to fraction form
    12,681.50/17,501.78 = 7,304.12/x
  3. Step 3: Cross multiply
    12,681.50x = 17,501.78 × 7,304.12
  4. Step 4: Simplify right side
    12,681.50x = 127,835,013.82
  5. Step 5: Solve for x
    x = 127,835,013.82/12,681.50
  6. Step 6: Final answer
    x = 10,080.43

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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.