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Finding the Fourth Proportional to 23,141.57, 34,706.93 and 6,503.19

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Solution

The fourth proportional to 23,141.57, 34,706.93 and 6,503.19 is: 9,753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.57 : 34,706.93 = 6,503.19 : x
  2. Step 2: Convert to fraction form
    23,141.57/34,706.93 = 6,503.19/x
  3. Step 3: Cross multiply
    23,141.57x = 34,706.93 × 6,503.19
  4. Step 4: Simplify right side
    23,141.57x = 225,705,727.59
  5. Step 5: Solve for x
    x = 225,705,727.59/23,141.57
  6. Step 6: Final answer
    x = 9,753.26

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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.