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Finding the Fourth Proportional to 23,251, 34,883.40 and 13,397.35

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Solution

The fourth proportional to 23,251, 34,883.40 and 13,397.35 is: 20,100.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,251 : 34,883.40 = 13,397.35 : x
  2. Step 2: Convert to fraction form
    23,251/34,883.40 = 13,397.35/x
  3. Step 3: Cross multiply
    23,251x = 34,883.40 × 13,397.35
  4. Step 4: Simplify right side
    23,251x = 467,345,118.99
  5. Step 5: Solve for x
    x = 467,345,118.99/23,251
  6. Step 6: Final answer
    x = 20,100.00

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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.