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Finding the Fourth Proportional to 14,292.16, 19,723.36 and 8,241

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Solution

The fourth proportional to 14,292.16, 19,723.36 and 8,241 is: 11,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292.16 : 19,723.36 = 8,241 : x
  2. Step 2: Convert to fraction form
    14,292.16/19,723.36 = 8,241/x
  3. Step 3: Cross multiply
    14,292.16x = 19,723.36 × 8,241
  4. Step 4: Simplify right side
    14,292.16x = 162,540,209.76
  5. Step 5: Solve for x
    x = 162,540,209.76/14,292.16
  6. Step 6: Final answer
    x = 11,372.68

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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.