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Finding the Fourth Proportional to 12,531.93, 17,294.07 and 6,867.03

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Solution

The fourth proportional to 12,531.93, 17,294.07 and 6,867.03 is: 9,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.93 : 17,294.07 = 6,867.03 : x
  2. Step 2: Convert to fraction form
    12,531.93/17,294.07 = 6,867.03/x
  3. Step 3: Cross multiply
    12,531.93x = 17,294.07 × 6,867.03
  4. Step 4: Simplify right side
    12,531.93x = 118,758,897.51
  5. Step 5: Solve for x
    x = 118,758,897.51/12,531.93
  6. Step 6: Final answer
    x = 9,476.51

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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.