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Finding the Fourth Proportional to 38,776.32, 58,180.32 and 13,821.12

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Solution

The fourth proportional to 38,776.32, 58,180.32 and 13,821.12 is: 20,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,776.32 : 58,180.32 = 13,821.12 : x
  2. Step 2: Convert to fraction form
    38,776.32/58,180.32 = 13,821.12/x
  3. Step 3: Cross multiply
    38,776.32x = 58,180.32 × 13,821.12
  4. Step 4: Simplify right side
    38,776.32x = 804,117,184.36
  5. Step 5: Solve for x
    x = 804,117,184.36/38,776.32
  6. Step 6: Final answer
    x = 20,737.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.