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Finding the Fourth Proportional to 22,538.68, 33,804.06 and 6,952.12

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Solution

The fourth proportional to 22,538.68, 33,804.06 and 6,952.12 is: 10,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.68 : 33,804.06 = 6,952.12 : x
  2. Step 2: Convert to fraction form
    22,538.68/33,804.06 = 6,952.12/x
  3. Step 3: Cross multiply
    22,538.68x = 33,804.06 × 6,952.12
  4. Step 4: Simplify right side
    22,538.68x = 235,009,881.61
  5. Step 5: Solve for x
    x = 235,009,881.61/22,538.68
  6. Step 6: Final answer
    x = 10,426.96

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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.