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Finding the Fourth Proportional to 12,865.30, 17,749.47 and 7,827.91

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Solution

The fourth proportional to 12,865.30, 17,749.47 and 7,827.91 is: 10,799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.30 : 17,749.47 = 7,827.91 : x
  2. Step 2: Convert to fraction form
    12,865.30/17,749.47 = 7,827.91/x
  3. Step 3: Cross multiply
    12,865.30x = 17,749.47 × 7,827.91
  4. Step 4: Simplify right side
    12,865.30x = 138,941,253.71
  5. Step 5: Solve for x
    x = 138,941,253.71/12,865.30
  6. Step 6: Final answer
    x = 10,799.69

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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.