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Finding the Fourth Proportional to 12,641.54, 17,426.14 and 9,103.46

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Solution

The fourth proportional to 12,641.54, 17,426.14 and 9,103.46 is: 12,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.54 : 17,426.14 = 9,103.46 : x
  2. Step 2: Convert to fraction form
    12,641.54/17,426.14 = 9,103.46/x
  3. Step 3: Cross multiply
    12,641.54x = 17,426.14 × 9,103.46
  4. Step 4: Simplify right side
    12,641.54x = 158,638,058.56
  5. Step 5: Solve for x
    x = 158,638,058.56/12,641.54
  6. Step 6: Final answer
    x = 12,548.96

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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.