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Finding the Fourth Proportional to 26,742, 36,902.52 and 14,804.76

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Solution

The fourth proportional to 26,742, 36,902.52 and 14,804.76 is: 20,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,742 : 36,902.52 = 14,804.76 : x
  2. Step 2: Convert to fraction form
    26,742/36,902.52 = 14,804.76/x
  3. Step 3: Cross multiply
    26,742x = 36,902.52 × 14,804.76
  4. Step 4: Simplify right side
    26,742x = 546,332,952.00
  5. Step 5: Solve for x
    x = 546,332,952.00/26,742
  6. Step 6: Final answer
    x = 20,429.77

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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.