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Finding the Fourth Proportional to 24,532, 33,854.24 and 13,354.08

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Solution

The fourth proportional to 24,532, 33,854.24 and 13,354.08 is: 18,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532 : 33,854.24 = 13,354.08 : x
  2. Step 2: Convert to fraction form
    24,532/33,854.24 = 13,354.08/x
  3. Step 3: Cross multiply
    24,532x = 33,854.24 × 13,354.08
  4. Step 4: Simplify right side
    24,532x = 452,092,229.30
  5. Step 5: Solve for x
    x = 452,092,229.30/24,532
  6. Step 6: Final answer
    x = 18,428.67

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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.