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Finding the Fourth Proportional to 24,580.69, 33,921.38 and 13,402.69

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Solution

The fourth proportional to 24,580.69, 33,921.38 and 13,402.69 is: 18,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,580.69 : 33,921.38 = 13,402.69 : x
  2. Step 2: Convert to fraction form
    24,580.69/33,921.38 = 13,402.69/x
  3. Step 3: Cross multiply
    24,580.69x = 33,921.38 × 13,402.69
  4. Step 4: Simplify right side
    24,580.69x = 454,637,689.22
  5. Step 5: Solve for x
    x = 454,637,689.22/24,580.69
  6. Step 6: Final answer
    x = 18,495.73

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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.