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Finding the Fourth Proportional to 14,872.95, 22,301.82 and 7,856.73

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Solution

The fourth proportional to 14,872.95, 22,301.82 and 7,856.73 is: 11,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.95 : 22,301.82 = 7,856.73 : x
  2. Step 2: Convert to fraction form
    14,872.95/22,301.82 = 7,856.73/x
  3. Step 3: Cross multiply
    14,872.95x = 22,301.82 × 7,856.73
  4. Step 4: Simplify right side
    14,872.95x = 175,219,378.25
  5. Step 5: Solve for x
    x = 175,219,378.25/14,872.95
  6. Step 6: Final answer
    x = 11,781.08

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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.