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Finding the Fourth Proportional to 26,774.47, 36,948.98 and 14,838

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Solution

The fourth proportional to 26,774.47, 36,948.98 and 14,838 is: 20,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,774.47 : 36,948.98 = 14,838 : x
  2. Step 2: Convert to fraction form
    26,774.47/36,948.98 = 14,838/x
  3. Step 3: Cross multiply
    26,774.47x = 36,948.98 × 14,838
  4. Step 4: Simplify right side
    26,774.47x = 548,248,965.24
  5. Step 5: Solve for x
    x = 548,248,965.24/26,774.47
  6. Step 6: Final answer
    x = 20,476.56

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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.