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Finding the Fourth Proportional to 24,580.84, 33,921.48 and 13,402.84

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Solution

The fourth proportional to 24,580.84, 33,921.48 and 13,402.84 is: 18,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,580.84 : 33,921.48 = 13,402.84 : x
  2. Step 2: Convert to fraction form
    24,580.84/33,921.48 = 13,402.84/x
  3. Step 3: Cross multiply
    24,580.84x = 33,921.48 × 13,402.84
  4. Step 4: Simplify right side
    24,580.84x = 454,644,169.00
  5. Step 5: Solve for x
    x = 454,644,169.00/24,580.84
  6. Step 6: Final answer
    x = 18,495.88

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1.5x scale

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.