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Finding the Fourth Proportional to 12,851.12, 17,730.12 and 7,813.76

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Solution

The fourth proportional to 12,851.12, 17,730.12 and 7,813.76 is: 10,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.12 : 17,730.12 = 7,813.76 : x
  2. Step 2: Convert to fraction form
    12,851.12/17,730.12 = 7,813.76/x
  3. Step 3: Cross multiply
    12,851.12x = 17,730.12 × 7,813.76
  4. Step 4: Simplify right side
    12,851.12x = 138,538,902.45
  5. Step 5: Solve for x
    x = 138,538,902.45/12,851.12
  6. Step 6: Final answer
    x = 10,780.30

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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.