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Finding the Fourth Proportional to 23,776.82, 32,809.71 and 14,214.81

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Solution

The fourth proportional to 23,776.82, 32,809.71 and 14,214.81 is: 19,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.82 : 32,809.71 = 14,214.81 : x
  2. Step 2: Convert to fraction form
    23,776.82/32,809.71 = 14,214.81/x
  3. Step 3: Cross multiply
    23,776.82x = 32,809.71 × 14,214.81
  4. Step 4: Simplify right side
    23,776.82x = 466,383,793.81
  5. Step 5: Solve for x
    x = 466,383,793.81/23,776.82
  6. Step 6: Final answer
    x = 19,615.07

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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.