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Finding the Fourth Proportional to 13,023.09, 17,960.04 and 8,545.14

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Solution

The fourth proportional to 13,023.09, 17,960.04 and 8,545.14 is: 11,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.09 : 17,960.04 = 8,545.14 : x
  2. Step 2: Convert to fraction form
    13,023.09/17,960.04 = 8,545.14/x
  3. Step 3: Cross multiply
    13,023.09x = 17,960.04 × 8,545.14
  4. Step 4: Simplify right side
    13,023.09x = 153,471,056.21
  5. Step 5: Solve for x
    x = 153,471,056.21/13,023.09
  6. Step 6: Final answer
    x = 11,784.53

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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.