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Finding the Fourth Proportional to 26,387.98, 36,414 and 14,449.06

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Solution

The fourth proportional to 26,387.98, 36,414 and 14,449.06 is: 19,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,387.98 : 36,414 = 14,449.06 : x
  2. Step 2: Convert to fraction form
    26,387.98/36,414 = 14,449.06/x
  3. Step 3: Cross multiply
    26,387.98x = 36,414 × 14,449.06
  4. Step 4: Simplify right side
    26,387.98x = 526,148,070.84
  5. Step 5: Solve for x
    x = 526,148,070.84/26,387.98
  6. Step 6: Final answer
    x = 19,938.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.