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Finding the Fourth Proportional to 22,705.86, 34,051.44 and 8,278.10

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Solution

The fourth proportional to 22,705.86, 34,051.44 and 8,278.10 is: 12,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.86 : 34,051.44 = 8,278.10 : x
  2. Step 2: Convert to fraction form
    22,705.86/34,051.44 = 8,278.10/x
  3. Step 3: Cross multiply
    22,705.86x = 34,051.44 × 8,278.10
  4. Step 4: Simplify right side
    22,705.86x = 281,881,225.46
  5. Step 5: Solve for x
    x = 281,881,225.46/22,705.86
  6. Step 6: Final answer
    x = 12,414.47

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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.