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Finding the Fourth Proportional to 22,655.41, 33,980.47 and 6,016.74

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Solution

The fourth proportional to 22,655.41, 33,980.47 and 6,016.74 is: 9,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655.41 : 33,980.47 = 6,016.74 : x
  2. Step 2: Convert to fraction form
    22,655.41/33,980.47 = 6,016.74/x
  3. Step 3: Cross multiply
    22,655.41x = 33,980.47 × 6,016.74
  4. Step 4: Simplify right side
    22,655.41x = 204,451,653.07
  5. Step 5: Solve for x
    x = 204,451,653.07/22,655.41
  6. Step 6: Final answer
    x = 9,024.41

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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.