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Finding the Fourth Proportional to 23,163, 34,723.71 and 8,368.46

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Solution

The fourth proportional to 23,163, 34,723.71 and 8,368.46 is: 12,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163 : 34,723.71 = 8,368.46 : x
  2. Step 2: Convert to fraction form
    23,163/34,723.71 = 8,368.46/x
  3. Step 3: Cross multiply
    23,163x = 34,723.71 × 8,368.46
  4. Step 4: Simplify right side
    23,163x = 290,583,804.57
  5. Step 5: Solve for x
    x = 290,583,804.57/23,163
  6. Step 6: Final answer
    x = 12,545.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.