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Finding the Fourth Proportional to 8,214.54, 12,323.54 and 2,667.45

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Solution

The fourth proportional to 8,214.54, 12,323.54 and 2,667.45 is: 4,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.54 : 12,323.54 = 2,667.45 : x
  2. Step 2: Convert to fraction form
    8,214.54/12,323.54 = 2,667.45/x
  3. Step 3: Cross multiply
    8,214.54x = 12,323.54 × 2,667.45
  4. Step 4: Simplify right side
    8,214.54x = 32,872,426.77
  5. Step 5: Solve for x
    x = 32,872,426.77/8,214.54
  6. Step 6: Final answer
    x = 4,001.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.