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Finding the Fourth Proportional to 26,140.84, 36,071.78 and 14,809.48

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Solution

The fourth proportional to 26,140.84, 36,071.78 and 14,809.48 is: 20,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,140.84 : 36,071.78 = 14,809.48 : x
  2. Step 2: Convert to fraction form
    26,140.84/36,071.78 = 14,809.48/x
  3. Step 3: Cross multiply
    26,140.84x = 36,071.78 × 14,809.48
  4. Step 4: Simplify right side
    26,140.84x = 534,204,304.47
  5. Step 5: Solve for x
    x = 534,204,304.47/26,140.84
  6. Step 6: Final answer
    x = 20,435.62

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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.