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Finding the Fourth Proportional to 27,038.12, 40,561.06 and 8,319.72

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Solution

The fourth proportional to 27,038.12, 40,561.06 and 8,319.72 is: 12,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.12 : 40,561.06 = 8,319.72 : x
  2. Step 2: Convert to fraction form
    27,038.12/40,561.06 = 8,319.72/x
  3. Step 3: Cross multiply
    27,038.12x = 40,561.06 × 8,319.72
  4. Step 4: Simplify right side
    27,038.12x = 337,456,662.10
  5. Step 5: Solve for x
    x = 337,456,662.10/27,038.12
  6. Step 6: Final answer
    x = 12,480.77

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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.