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Finding the Fourth Proportional to 23,250, 34,881.90 and 13,396.35

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Solution

The fourth proportional to 23,250, 34,881.90 and 13,396.35 is: 20,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,250 : 34,881.90 = 13,396.35 : x
  2. Step 2: Convert to fraction form
    23,250/34,881.90 = 13,396.35/x
  3. Step 3: Cross multiply
    23,250x = 34,881.90 × 13,396.35
  4. Step 4: Simplify right side
    23,250x = 467,290,141.07
  5. Step 5: Solve for x
    x = 467,290,141.07/23,250
  6. Step 6: Final answer
    x = 20,098.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.