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Finding the Fourth Proportional to 23,531, 32,472.78 and 13,595

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Solution

The fourth proportional to 23,531, 32,472.78 and 13,595 is: 18,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531 : 32,472.78 = 13,595 : x
  2. Step 2: Convert to fraction form
    23,531/32,472.78 = 13,595/x
  3. Step 3: Cross multiply
    23,531x = 32,472.78 × 13,595
  4. Step 4: Simplify right side
    23,531x = 441,467,444.10
  5. Step 5: Solve for x
    x = 441,467,444.10/23,531
  6. Step 6: Final answer
    x = 18,761.10

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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.