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Finding the Fourth Proportional to 24,001.50, 33,122.07 and 14,065.50

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Solution

The fourth proportional to 24,001.50, 33,122.07 and 14,065.50 is: 19,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,001.50 : 33,122.07 = 14,065.50 : x
  2. Step 2: Convert to fraction form
    24,001.50/33,122.07 = 14,065.50/x
  3. Step 3: Cross multiply
    24,001.50x = 33,122.07 × 14,065.50
  4. Step 4: Simplify right side
    24,001.50x = 465,878,475.59
  5. Step 5: Solve for x
    x = 465,878,475.59/24,001.50
  6. Step 6: Final answer
    x = 19,410.39

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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.