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Finding the Fourth Proportional to 23,656.65, 32,646.38 and 13,584.93

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Solution

The fourth proportional to 23,656.65, 32,646.38 and 13,584.93 is: 18,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,656.65 : 32,646.38 = 13,584.93 : x
  2. Step 2: Convert to fraction form
    23,656.65/32,646.38 = 13,584.93/x
  3. Step 3: Cross multiply
    23,656.65x = 32,646.38 × 13,584.93
  4. Step 4: Simplify right side
    23,656.65x = 443,498,787.05
  5. Step 5: Solve for x
    x = 443,498,787.05/23,656.65
  6. Step 6: Final answer
    x = 18,747.32

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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.