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Finding the Fourth Proportional to 12,869.37, 17,764.11 and 7,565.76

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Solution

The fourth proportional to 12,869.37, 17,764.11 and 7,565.76 is: 10,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.37 : 17,764.11 = 7,565.76 : x
  2. Step 2: Convert to fraction form
    12,869.37/17,764.11 = 7,565.76/x
  3. Step 3: Cross multiply
    12,869.37x = 17,764.11 × 7,565.76
  4. Step 4: Simplify right side
    12,869.37x = 134,398,992.87
  5. Step 5: Solve for x
    x = 134,398,992.87/12,869.37
  6. Step 6: Final answer
    x = 10,443.32

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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.