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Finding the Fourth Proportional to 12,780.84, 17,637.18 and 7,191.72

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Solution

The fourth proportional to 12,780.84, 17,637.18 and 7,191.72 is: 9,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.84 : 17,637.18 = 7,191.72 : x
  2. Step 2: Convert to fraction form
    12,780.84/17,637.18 = 7,191.72/x
  3. Step 3: Cross multiply
    12,780.84x = 17,637.18 × 7,191.72
  4. Step 4: Simplify right side
    12,780.84x = 126,841,660.15
  5. Step 5: Solve for x
    x = 126,841,660.15/12,780.84
  6. Step 6: Final answer
    x = 9,924.36

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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.