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Finding the Fourth Proportional to 26,486.16, 36,546.84 and 15,306

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Solution

The fourth proportional to 26,486.16, 36,546.84 and 15,306 is: 21,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,486.16 : 36,546.84 = 15,306 : x
  2. Step 2: Convert to fraction form
    26,486.16/36,546.84 = 15,306/x
  3. Step 3: Cross multiply
    26,486.16x = 36,546.84 × 15,306
  4. Step 4: Simplify right side
    26,486.16x = 559,385,933.04
  5. Step 5: Solve for x
    x = 559,385,933.04/26,486.16
  6. Step 6: Final answer
    x = 21,119.93

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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.