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Finding the Fourth Proportional to 27,758.12, 41,644.44 and 8,038.20

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Solution

The fourth proportional to 27,758.12, 41,644.44 and 8,038.20 is: 12,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.12 : 41,644.44 = 8,038.20 : x
  2. Step 2: Convert to fraction form
    27,758.12/41,644.44 = 8,038.20/x
  3. Step 3: Cross multiply
    27,758.12x = 41,644.44 × 8,038.20
  4. Step 4: Simplify right side
    27,758.12x = 334,746,337.61
  5. Step 5: Solve for x
    x = 334,746,337.61/27,758.12
  6. Step 6: Final answer
    x = 12,059.40

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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.