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Finding the Fourth Proportional to 24,507, 33,820.38 and 13,329.72

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Solution

The fourth proportional to 24,507, 33,820.38 and 13,329.72 is: 18,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507 : 33,820.38 = 13,329.72 : x
  2. Step 2: Convert to fraction form
    24,507/33,820.38 = 13,329.72/x
  3. Step 3: Cross multiply
    24,507x = 33,820.38 × 13,329.72
  4. Step 4: Simplify right side
    24,507x = 450,816,195.69
  5. Step 5: Solve for x
    x = 450,816,195.69/24,507
  6. Step 6: Final answer
    x = 18,395.41

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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.