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Finding the Fourth Proportional to 12,681.98, 17,502.09 and 7,306.07

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Solution

The fourth proportional to 12,681.98, 17,502.09 and 7,306.07 is: 10,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.98 : 17,502.09 = 7,306.07 : x
  2. Step 2: Convert to fraction form
    12,681.98/17,502.09 = 7,306.07/x
  3. Step 3: Cross multiply
    12,681.98x = 17,502.09 × 7,306.07
  4. Step 4: Simplify right side
    12,681.98x = 127,871,494.69
  5. Step 5: Solve for x
    x = 127,871,494.69/12,681.98
  6. Step 6: Final answer
    x = 10,082.93

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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.