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Finding the Fourth Proportional to 12,594.81, 17,381.42 and 7,288.60

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Solution

The fourth proportional to 12,594.81, 17,381.42 and 7,288.60 is: 10,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.81 : 17,381.42 = 7,288.60 : x
  2. Step 2: Convert to fraction form
    12,594.81/17,381.42 = 7,288.60/x
  3. Step 3: Cross multiply
    12,594.81x = 17,381.42 × 7,288.60
  4. Step 4: Simplify right side
    12,594.81x = 126,686,217.81
  5. Step 5: Solve for x
    x = 126,686,217.81/12,594.81
  6. Step 6: Final answer
    x = 10,058.60

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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.