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Finding the Fourth Proportional to 22,813.92, 31,482.87 and 12,742.53

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Solution

The fourth proportional to 22,813.92, 31,482.87 and 12,742.53 is: 17,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.92 : 31,482.87 = 12,742.53 : x
  2. Step 2: Convert to fraction form
    22,813.92/31,482.87 = 12,742.53/x
  3. Step 3: Cross multiply
    22,813.92x = 31,482.87 × 12,742.53
  4. Step 4: Simplify right side
    22,813.92x = 401,171,415.46
  5. Step 5: Solve for x
    x = 401,171,415.46/22,813.92
  6. Step 6: Final answer
    x = 17,584.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.