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Finding the Fourth Proportional to 24,922, 34,393.12 and 13,744.72

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Solution

The fourth proportional to 24,922, 34,393.12 and 13,744.72 is: 18,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,922 : 34,393.12 = 13,744.72 : x
  2. Step 2: Convert to fraction form
    24,922/34,393.12 = 13,744.72/x
  3. Step 3: Cross multiply
    24,922x = 34,393.12 × 13,744.72
  4. Step 4: Simplify right side
    24,922x = 472,723,804.33
  5. Step 5: Solve for x
    x = 472,723,804.33/24,922
  6. Step 6: Final answer
    x = 18,968.13

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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.