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Finding the Fourth Proportional to 23,886.70, 32,950.19 and 14,324.04

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Solution

The fourth proportional to 23,886.70, 32,950.19 and 14,324.04 is: 19,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.70 : 32,950.19 = 14,324.04 : x
  2. Step 2: Convert to fraction form
    23,886.70/32,950.19 = 14,324.04/x
  3. Step 3: Cross multiply
    23,886.70x = 32,950.19 × 14,324.04
  4. Step 4: Simplify right side
    23,886.70x = 471,979,875.38
  5. Step 5: Solve for x
    x = 471,979,875.38/23,886.70
  6. Step 6: Final answer
    x = 19,759.11

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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.