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Finding the Fourth Proportional to 13,935.95, 20,885.08 and 7,686.59

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Solution

The fourth proportional to 13,935.95, 20,885.08 and 7,686.59 is: 11,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.95 : 20,885.08 = 7,686.59 : x
  2. Step 2: Convert to fraction form
    13,935.95/20,885.08 = 7,686.59/x
  3. Step 3: Cross multiply
    13,935.95x = 20,885.08 × 7,686.59
  4. Step 4: Simplify right side
    13,935.95x = 160,535,047.08
  5. Step 5: Solve for x
    x = 160,535,047.08/13,935.95
  6. Step 6: Final answer
    x = 11,519.49

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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.