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Finding the Fourth Proportional to 24,315.88, 33,556.50 and 14,250.76

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Solution

The fourth proportional to 24,315.88, 33,556.50 and 14,250.76 is: 19,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.88 : 33,556.50 = 14,250.76 : x
  2. Step 2: Convert to fraction form
    24,315.88/33,556.50 = 14,250.76/x
  3. Step 3: Cross multiply
    24,315.88x = 33,556.50 × 14,250.76
  4. Step 4: Simplify right side
    24,315.88x = 478,205,627.94
  5. Step 5: Solve for x
    x = 478,205,627.94/24,315.88
  6. Step 6: Final answer
    x = 19,666.39

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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.