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Finding the Fourth Proportional to 12,648.83, 17,454.06 and 7,342.61

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Solution

The fourth proportional to 12,648.83, 17,454.06 and 7,342.61 is: 10,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.83 : 17,454.06 = 7,342.61 : x
  2. Step 2: Convert to fraction form
    12,648.83/17,454.06 = 7,342.61/x
  3. Step 3: Cross multiply
    12,648.83x = 17,454.06 × 7,342.61
  4. Step 4: Simplify right side
    12,648.83x = 128,158,355.50
  5. Step 5: Solve for x
    x = 128,158,355.50/12,648.83
  6. Step 6: Final answer
    x = 10,132.03

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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.