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Finding the Fourth Proportional to 13,569.15, 18,728 and 7,904.76

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Solution

The fourth proportional to 13,569.15, 18,728 and 7,904.76 is: 10,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569.15 : 18,728 = 7,904.76 : x
  2. Step 2: Convert to fraction form
    13,569.15/18,728 = 7,904.76/x
  3. Step 3: Cross multiply
    13,569.15x = 18,728 × 7,904.76
  4. Step 4: Simplify right side
    13,569.15x = 148,040,345.28
  5. Step 5: Solve for x
    x = 148,040,345.28/13,569.15
  6. Step 6: Final answer
    x = 10,910.07

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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.