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Finding the Fourth Proportional to 22,493.32, 33,736.51 and 7,698.84

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Solution

The fourth proportional to 22,493.32, 33,736.51 and 7,698.84 is: 11,547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.32 : 33,736.51 = 7,698.84 : x
  2. Step 2: Convert to fraction form
    22,493.32/33,736.51 = 7,698.84/x
  3. Step 3: Cross multiply
    22,493.32x = 33,736.51 × 7,698.84
  4. Step 4: Simplify right side
    22,493.32x = 259,731,785.47
  5. Step 5: Solve for x
    x = 259,731,785.47/22,493.32
  6. Step 6: Final answer
    x = 11,547.07

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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.