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Finding the Fourth Proportional to 22,742.60, 31,383.76 and 12,672.14

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Solution

The fourth proportional to 22,742.60, 31,383.76 and 12,672.14 is: 17,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742.60 : 31,383.76 = 12,672.14 : x
  2. Step 2: Convert to fraction form
    22,742.60/31,383.76 = 12,672.14/x
  3. Step 3: Cross multiply
    22,742.60x = 31,383.76 × 12,672.14
  4. Step 4: Simplify right side
    22,742.60x = 397,699,400.45
  5. Step 5: Solve for x
    x = 397,699,400.45/22,742.60
  6. Step 6: Final answer
    x = 17,486.98

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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.