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Finding the Fourth Proportional to 38,206.32, 57,299.76 and 14,820

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Solution

The fourth proportional to 38,206.32, 57,299.76 and 14,820 is: 22,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,206.32 : 57,299.76 = 14,820 : x
  2. Step 2: Convert to fraction form
    38,206.32/57,299.76 = 14,820/x
  3. Step 3: Cross multiply
    38,206.32x = 57,299.76 × 14,820
  4. Step 4: Simplify right side
    38,206.32x = 849,182,443.20
  5. Step 5: Solve for x
    x = 849,182,443.20/38,206.32
  6. Step 6: Final answer
    x = 22,226.23

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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.