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Finding the Fourth Proportional to 13,102.05, 18,078.03 and 8,323.50

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Solution

The fourth proportional to 13,102.05, 18,078.03 and 8,323.50 is: 11,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.05 : 18,078.03 = 8,323.50 : x
  2. Step 2: Convert to fraction form
    13,102.05/18,078.03 = 8,323.50/x
  3. Step 3: Cross multiply
    13,102.05x = 18,078.03 × 8,323.50
  4. Step 4: Simplify right side
    13,102.05x = 150,472,482.71
  5. Step 5: Solve for x
    x = 150,472,482.71/13,102.05
  6. Step 6: Final answer
    x = 11,484.65

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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.