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Finding the Fourth Proportional to 22,813.98, 31,483.95 and 12,742.14

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Solution

The fourth proportional to 22,813.98, 31,483.95 and 12,742.14 is: 17,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.98 : 31,483.95 = 12,742.14 : x
  2. Step 2: Convert to fraction form
    22,813.98/31,483.95 = 12,742.14/x
  3. Step 3: Cross multiply
    22,813.98x = 31,483.95 × 12,742.14
  4. Step 4: Simplify right side
    22,813.98x = 401,172,898.65
  5. Step 5: Solve for x
    x = 401,172,898.65/22,813.98
  6. Step 6: Final answer
    x = 17,584.52

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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.