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Finding the Fourth Proportional to 21,213, 31,811.50 and 17,042.76

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Solution

The fourth proportional to 21,213, 31,811.50 and 17,042.76 is: 25,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,213 : 31,811.50 = 17,042.76 : x
  2. Step 2: Convert to fraction form
    21,213/31,811.50 = 17,042.76/x
  3. Step 3: Cross multiply
    21,213x = 31,811.50 × 17,042.76
  4. Step 4: Simplify right side
    21,213x = 542,155,759.74
  5. Step 5: Solve for x
    x = 542,155,759.74/21,213
  6. Step 6: Final answer
    x = 25,557.71

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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.