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Finding the Fourth Proportional to 13,625.31, 18,801 and 7,656.69

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Solution

The fourth proportional to 13,625.31, 18,801 and 7,656.69 is: 10,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.31 : 18,801 = 7,656.69 : x
  2. Step 2: Convert to fraction form
    13,625.31/18,801 = 7,656.69/x
  3. Step 3: Cross multiply
    13,625.31x = 18,801 × 7,656.69
  4. Step 4: Simplify right side
    13,625.31x = 143,953,428.69
  5. Step 5: Solve for x
    x = 143,953,428.69/13,625.31
  6. Step 6: Final answer
    x = 10,565.15

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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.