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Finding the Fourth Proportional to 23,626.38, 32,602.98 and 14,066.97

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Solution

The fourth proportional to 23,626.38, 32,602.98 and 14,066.97 is: 19,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,626.38 : 32,602.98 = 14,066.97 : x
  2. Step 2: Convert to fraction form
    23,626.38/32,602.98 = 14,066.97/x
  3. Step 3: Cross multiply
    23,626.38x = 32,602.98 × 14,066.97
  4. Step 4: Simplify right side
    23,626.38x = 458,625,141.57
  5. Step 5: Solve for x
    x = 458,625,141.57/23,626.38
  6. Step 6: Final answer
    x = 19,411.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.