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Finding the Fourth Proportional to 24,388.58, 36,579.05 and 7,746.42

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Solution

The fourth proportional to 24,388.58, 36,579.05 and 7,746.42 is: 11,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,388.58 : 36,579.05 = 7,746.42 : x
  2. Step 2: Convert to fraction form
    24,388.58/36,579.05 = 7,746.42/x
  3. Step 3: Cross multiply
    24,388.58x = 36,579.05 × 7,746.42
  4. Step 4: Simplify right side
    24,388.58x = 283,356,645.77
  5. Step 5: Solve for x
    x = 283,356,645.77/24,388.58
  6. Step 6: Final answer
    x = 11,618.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.