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Finding the Fourth Proportional to 22,774.98, 31,430.26 and 13,214.15

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Solution

The fourth proportional to 22,774.98, 31,430.26 and 13,214.15 is: 18,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.98 : 31,430.26 = 13,214.15 : x
  2. Step 2: Convert to fraction form
    22,774.98/31,430.26 = 13,214.15/x
  3. Step 3: Cross multiply
    22,774.98x = 31,430.26 × 13,214.15
  4. Step 4: Simplify right side
    22,774.98x = 415,324,170.18
  5. Step 5: Solve for x
    x = 415,324,170.18/22,774.98
  6. Step 6: Final answer
    x = 18,235.98

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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.