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Finding the Fourth Proportional to 22,814.10, 31,483.14 and 12,742.72

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Solution

The fourth proportional to 22,814.10, 31,483.14 and 12,742.72 is: 17,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.10 : 31,483.14 = 12,742.72 : x
  2. Step 2: Convert to fraction form
    22,814.10/31,483.14 = 12,742.72/x
  3. Step 3: Cross multiply
    22,814.10x = 31,483.14 × 12,742.72
  4. Step 4: Simplify right side
    22,814.10x = 401,180,837.74
  5. Step 5: Solve for x
    x = 401,180,837.74/22,814.10
  6. Step 6: Final answer
    x = 17,584.78

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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.