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Finding the Fourth Proportional to 13,669.86, 18,862.13 and 7,618.77

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Solution

The fourth proportional to 13,669.86, 18,862.13 and 7,618.77 is: 10,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.86 : 18,862.13 = 7,618.77 : x
  2. Step 2: Convert to fraction form
    13,669.86/18,862.13 = 7,618.77/x
  3. Step 3: Cross multiply
    13,669.86x = 18,862.13 × 7,618.77
  4. Step 4: Simplify right side
    13,669.86x = 143,706,192.09
  5. Step 5: Solve for x
    x = 143,706,192.09/13,669.86
  6. Step 6: Final answer
    x = 10,512.63

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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.