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Finding the Fourth Proportional to 24,530.50, 33,852.23 and 13,352.50

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Solution

The fourth proportional to 24,530.50, 33,852.23 and 13,352.50 is: 18,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,530.50 : 33,852.23 = 13,352.50 : x
  2. Step 2: Convert to fraction form
    24,530.50/33,852.23 = 13,352.50/x
  3. Step 3: Cross multiply
    24,530.50x = 33,852.23 × 13,352.50
  4. Step 4: Simplify right side
    24,530.50x = 452,011,901.08
  5. Step 5: Solve for x
    x = 452,011,901.08/24,530.50
  6. Step 6: Final answer
    x = 18,426.53

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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.