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Finding the Fourth Proportional to 24,398.74, 33,670.92 and 13,788.14

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Solution

The fourth proportional to 24,398.74, 33,670.92 and 13,788.14 is: 19,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,398.74 : 33,670.92 = 13,788.14 : x
  2. Step 2: Convert to fraction form
    24,398.74/33,670.92 = 13,788.14/x
  3. Step 3: Cross multiply
    24,398.74x = 33,670.92 × 13,788.14
  4. Step 4: Simplify right side
    24,398.74x = 464,259,358.89
  5. Step 5: Solve for x
    x = 464,259,358.89/24,398.74
  6. Step 6: Final answer
    x = 19,028.01

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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.