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Finding the Fourth Proportional to 26,778.47, 36,948.02 and 16,026.80

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Solution

The fourth proportional to 26,778.47, 36,948.02 and 16,026.80 is: 22,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,778.47 : 36,948.02 = 16,026.80 : x
  2. Step 2: Convert to fraction form
    26,778.47/36,948.02 = 16,026.80/x
  3. Step 3: Cross multiply
    26,778.47x = 36,948.02 × 16,026.80
  4. Step 4: Simplify right side
    26,778.47x = 592,158,262.06
  5. Step 5: Solve for x
    x = 592,158,262.06/26,778.47
  6. Step 6: Final answer
    x = 22,113.23

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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.