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Finding the Fourth Proportional to 13,204.56, 19,793.51 and 8,277.66

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Solution

The fourth proportional to 13,204.56, 19,793.51 and 8,277.66 is: 12,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.56 : 19,793.51 = 8,277.66 : x
  2. Step 2: Convert to fraction form
    13,204.56/19,793.51 = 8,277.66/x
  3. Step 3: Cross multiply
    13,204.56x = 19,793.51 × 8,277.66
  4. Step 4: Simplify right side
    13,204.56x = 163,843,875.81
  5. Step 5: Solve for x
    x = 163,843,875.81/13,204.56
  6. Step 6: Final answer
    x = 12,408.13

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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.