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Finding the Fourth Proportional to 23,614.70, 32,590.59 and 17,635.99

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Solution

The fourth proportional to 23,614.70, 32,590.59 and 17,635.99 is: 24,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.70 : 32,590.59 = 17,635.99 : x
  2. Step 2: Convert to fraction form
    23,614.70/32,590.59 = 17,635.99/x
  3. Step 3: Cross multiply
    23,614.70x = 32,590.59 × 17,635.99
  4. Step 4: Simplify right side
    23,614.70x = 574,767,353.06
  5. Step 5: Solve for x
    x = 574,767,353.06/23,614.70
  6. Step 6: Final answer
    x = 24,339.39

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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.