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Finding the Fourth Proportional to 26,120, 36,045.60 and 14,942

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Solution

The fourth proportional to 26,120, 36,045.60 and 14,942 is: 20,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,120 : 36,045.60 = 14,942 : x
  2. Step 2: Convert to fraction form
    26,120/36,045.60 = 14,942/x
  3. Step 3: Cross multiply
    26,120x = 36,045.60 × 14,942
  4. Step 4: Simplify right side
    26,120x = 538,593,355.20
  5. Step 5: Solve for x
    x = 538,593,355.20/26,120
  6. Step 6: Final answer
    x = 20,619.96

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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.