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Finding the Fourth Proportional to 12,159.36, 16,781.22 and 7,440.84

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Solution

The fourth proportional to 12,159.36, 16,781.22 and 7,440.84 is: 10,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.36 : 16,781.22 = 7,440.84 : x
  2. Step 2: Convert to fraction form
    12,159.36/16,781.22 = 7,440.84/x
  3. Step 3: Cross multiply
    12,159.36x = 16,781.22 × 7,440.84
  4. Step 4: Simplify right side
    12,159.36x = 124,866,373.02
  5. Step 5: Solve for x
    x = 124,866,373.02/12,159.36
  6. Step 6: Final answer
    x = 10,269.16

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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.