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Finding the Fourth Proportional to 23,465.81, 32,382.82 and 14,034.38

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Solution

The fourth proportional to 23,465.81, 32,382.82 and 14,034.38 is: 19,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465.81 : 32,382.82 = 14,034.38 : x
  2. Step 2: Convert to fraction form
    23,465.81/32,382.82 = 14,034.38/x
  3. Step 3: Cross multiply
    23,465.81x = 32,382.82 × 14,034.38
  4. Step 4: Simplify right side
    23,465.81x = 454,472,656.98
  5. Step 5: Solve for x
    x = 454,472,656.98/23,465.81
  6. Step 6: Final answer
    x = 19,367.44

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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.