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Finding the Fourth Proportional to 26,220.70, 36,184.52 and 14,284

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Solution

The fourth proportional to 26,220.70, 36,184.52 and 14,284 is: 19,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,220.70 : 36,184.52 = 14,284 : x
  2. Step 2: Convert to fraction form
    26,220.70/36,184.52 = 14,284/x
  3. Step 3: Cross multiply
    26,220.70x = 36,184.52 × 14,284
  4. Step 4: Simplify right side
    26,220.70x = 516,859,683.68
  5. Step 5: Solve for x
    x = 516,859,683.68/26,220.70
  6. Step 6: Final answer
    x = 19,711.89

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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.