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Finding the Fourth Proportional to 12,648.13, 17,460.32 and 7,341.92

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Solution

The fourth proportional to 12,648.13, 17,460.32 and 7,341.92 is: 10,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.13 : 17,460.32 = 7,341.92 : x
  2. Step 2: Convert to fraction form
    12,648.13/17,460.32 = 7,341.92/x
  3. Step 3: Cross multiply
    12,648.13x = 17,460.32 × 7,341.92
  4. Step 4: Simplify right side
    12,648.13x = 128,192,272.61
  5. Step 5: Solve for x
    x = 128,192,272.61/12,648.13
  6. Step 6: Final answer
    x = 10,135.27

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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.