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Finding the Fourth Proportional to 12,531.36, 17,293.95 and 7,226.40

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Solution

The fourth proportional to 12,531.36, 17,293.95 and 7,226.40 is: 9,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.36 : 17,293.95 = 7,226.40 : x
  2. Step 2: Convert to fraction form
    12,531.36/17,293.95 = 7,226.40/x
  3. Step 3: Cross multiply
    12,531.36x = 17,293.95 × 7,226.40
  4. Step 4: Simplify right side
    12,531.36x = 124,973,000.28
  5. Step 5: Solve for x
    x = 124,973,000.28/12,531.36
  6. Step 6: Final answer
    x = 9,972.82

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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.