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Finding the Fourth Proportional to 22,821.95, 34,211.05 and 9,656.21

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Solution

The fourth proportional to 22,821.95, 34,211.05 and 9,656.21 is: 14,475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821.95 : 34,211.05 = 9,656.21 : x
  2. Step 2: Convert to fraction form
    22,821.95/34,211.05 = 9,656.21/x
  3. Step 3: Cross multiply
    22,821.95x = 34,211.05 × 9,656.21
  4. Step 4: Simplify right side
    22,821.95x = 330,349,083.12
  5. Step 5: Solve for x
    x = 330,349,083.12/22,821.95
  6. Step 6: Final answer
    x = 14,475.06

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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.