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Finding the Fourth Proportional to 23,530.38, 32,472.93 and 13,975.92

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Solution

The fourth proportional to 23,530.38, 32,472.93 and 13,975.92 is: 19,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.38 : 32,472.93 = 13,975.92 : x
  2. Step 2: Convert to fraction form
    23,530.38/32,472.93 = 13,975.92/x
  3. Step 3: Cross multiply
    23,530.38x = 32,472.93 × 13,975.92
  4. Step 4: Simplify right side
    23,530.38x = 453,839,071.85
  5. Step 5: Solve for x
    x = 453,839,071.85/23,530.38
  6. Step 6: Final answer
    x = 19,287.37

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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.