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Finding the Fourth Proportional to 12,820.08, 17,691.71 and 7,077.54

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Solution

The fourth proportional to 12,820.08, 17,691.71 and 7,077.54 is: 9,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.08 : 17,691.71 = 7,077.54 : x
  2. Step 2: Convert to fraction form
    12,820.08/17,691.71 = 7,077.54/x
  3. Step 3: Cross multiply
    12,820.08x = 17,691.71 × 7,077.54
  4. Step 4: Simplify right side
    12,820.08x = 125,213,785.19
  5. Step 5: Solve for x
    x = 125,213,785.19/12,820.08
  6. Step 6: Final answer
    x = 9,767.00

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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.