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Finding the Fourth Proportional to 26,569.42, 39,870.48 and 10,987

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Solution

The fourth proportional to 26,569.42, 39,870.48 and 10,987 is: 16,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,569.42 : 39,870.48 = 10,987 : x
  2. Step 2: Convert to fraction form
    26,569.42/39,870.48 = 10,987/x
  3. Step 3: Cross multiply
    26,569.42x = 39,870.48 × 10,987
  4. Step 4: Simplify right side
    26,569.42x = 438,056,963.76
  5. Step 5: Solve for x
    x = 438,056,963.76/26,569.42
  6. Step 6: Final answer
    x = 16,487.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.