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Finding the Fourth Proportional to 14,827.95, 22,240.98 and 7,805.85

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Solution

The fourth proportional to 14,827.95, 22,240.98 and 7,805.85 is: 11,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.95 : 22,240.98 = 7,805.85 : x
  2. Step 2: Convert to fraction form
    14,827.95/22,240.98 = 7,805.85/x
  3. Step 3: Cross multiply
    14,827.95x = 22,240.98 × 7,805.85
  4. Step 4: Simplify right side
    14,827.95x = 173,609,753.73
  5. Step 5: Solve for x
    x = 173,609,753.73/14,827.95
  6. Step 6: Final answer
    x = 11,708.28

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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.