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Finding the Fourth Proportional to 22,705.52, 34,035.24 and 14,382.96

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Solution

The fourth proportional to 22,705.52, 34,035.24 and 14,382.96 is: 21,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.52 : 34,035.24 = 14,382.96 : x
  2. Step 2: Convert to fraction form
    22,705.52/34,035.24 = 14,382.96/x
  3. Step 3: Cross multiply
    22,705.52x = 34,035.24 × 14,382.96
  4. Step 4: Simplify right side
    22,705.52x = 489,527,495.51
  5. Step 5: Solve for x
    x = 489,527,495.51/22,705.52
  6. Step 6: Final answer
    x = 21,559.85

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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.