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Finding the Fourth Proportional to 12,565.28, 17,338.86 and 7,259.36

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Solution

The fourth proportional to 12,565.28, 17,338.86 and 7,259.36 is: 10,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.28 : 17,338.86 = 7,259.36 : x
  2. Step 2: Convert to fraction form
    12,565.28/17,338.86 = 7,259.36/x
  3. Step 3: Cross multiply
    12,565.28x = 17,338.86 × 7,259.36
  4. Step 4: Simplify right side
    12,565.28x = 125,869,026.73
  5. Step 5: Solve for x
    x = 125,869,026.73/12,565.28
  6. Step 6: Final answer
    x = 10,017.21

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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.