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Finding the Fourth Proportional to 12,565.31, 17,340.37 and 6,900.64

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Solution

The fourth proportional to 12,565.31, 17,340.37 and 6,900.64 is: 9,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.31 : 17,340.37 = 6,900.64 : x
  2. Step 2: Convert to fraction form
    12,565.31/17,340.37 = 6,900.64/x
  3. Step 3: Cross multiply
    12,565.31x = 17,340.37 × 6,900.64
  4. Step 4: Simplify right side
    12,565.31x = 119,659,564.13
  5. Step 5: Solve for x
    x = 119,659,564.13/12,565.31
  6. Step 6: Final answer
    x = 9,523.01

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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.