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Finding the Fourth Proportional to 22,814.66, 31,483.90 and 12,743.25

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Solution

The fourth proportional to 22,814.66, 31,483.90 and 12,743.25 is: 17,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.66 : 31,483.90 = 12,743.25 : x
  2. Step 2: Convert to fraction form
    22,814.66/31,483.90 = 12,743.25/x
  3. Step 3: Cross multiply
    22,814.66x = 31,483.90 × 12,743.25
  4. Step 4: Simplify right side
    22,814.66x = 401,207,176.82
  5. Step 5: Solve for x
    x = 401,207,176.82/22,814.66
  6. Step 6: Final answer
    x = 17,585.50

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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.