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Finding the Fourth Proportional to 23,817.36, 32,878.80 and 15,323.52

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Solution

The fourth proportional to 23,817.36, 32,878.80 and 15,323.52 is: 21,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.36 : 32,878.80 = 15,323.52 : x
  2. Step 2: Convert to fraction form
    23,817.36/32,878.80 = 15,323.52/x
  3. Step 3: Cross multiply
    23,817.36x = 32,878.80 × 15,323.52
  4. Step 4: Simplify right side
    23,817.36x = 503,818,949.38
  5. Step 5: Solve for x
    x = 503,818,949.38/23,817.36
  6. Step 6: Final answer
    x = 21,153.43

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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.