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Finding the Fourth Proportional to 27,038.21, 40,561.17 and 8,319.80

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Solution

The fourth proportional to 27,038.21, 40,561.17 and 8,319.80 is: 12,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.21 : 40,561.17 = 8,319.80 : x
  2. Step 2: Convert to fraction form
    27,038.21/40,561.17 = 8,319.80/x
  3. Step 3: Cross multiply
    27,038.21x = 40,561.17 × 8,319.80
  4. Step 4: Simplify right side
    27,038.21x = 337,460,822.17
  5. Step 5: Solve for x
    x = 337,460,822.17/27,038.21
  6. Step 6: Final answer
    x = 12,480.89

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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.