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Finding the Fourth Proportional to 23,834.88, 32,892.48 and 13,898.88

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Solution

The fourth proportional to 23,834.88, 32,892.48 and 13,898.88 is: 19,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.88 : 32,892.48 = 13,898.88 : x
  2. Step 2: Convert to fraction form
    23,834.88/32,892.48 = 13,898.88/x
  3. Step 3: Cross multiply
    23,834.88x = 32,892.48 × 13,898.88
  4. Step 4: Simplify right side
    23,834.88x = 457,168,632.42
  5. Step 5: Solve for x
    x = 457,168,632.42/23,834.88
  6. Step 6: Final answer
    x = 19,180.66

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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.