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Finding the Fourth Proportional to 26,781.57, 36,931.41 and 16,164.90

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Solution

The fourth proportional to 26,781.57, 36,931.41 and 16,164.90 is: 22,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,781.57 : 36,931.41 = 16,164.90 : x
  2. Step 2: Convert to fraction form
    26,781.57/36,931.41 = 16,164.90/x
  3. Step 3: Cross multiply
    26,781.57x = 36,931.41 × 16,164.90
  4. Step 4: Simplify right side
    26,781.57x = 596,992,549.51
  5. Step 5: Solve for x
    x = 596,992,549.51/26,781.57
  6. Step 6: Final answer
    x = 22,291.17

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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.