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Finding the Fourth Proportional to 26,886.16, 40,270.92 and 13,006

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Solution

The fourth proportional to 26,886.16, 40,270.92 and 13,006 is: 19,480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,886.16 : 40,270.92 = 13,006 : x
  2. Step 2: Convert to fraction form
    26,886.16/40,270.92 = 13,006/x
  3. Step 3: Cross multiply
    26,886.16x = 40,270.92 × 13,006
  4. Step 4: Simplify right side
    26,886.16x = 523,763,585.52
  5. Step 5: Solve for x
    x = 523,763,585.52/26,886.16
  6. Step 6: Final answer
    x = 19,480.79

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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.