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Finding the Fourth Proportional to 13,686.12, 20,523.75 and 4,677.99

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Solution

The fourth proportional to 13,686.12, 20,523.75 and 4,677.99 is: 7,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.12 : 20,523.75 = 4,677.99 : x
  2. Step 2: Convert to fraction form
    13,686.12/20,523.75 = 4,677.99/x
  3. Step 3: Cross multiply
    13,686.12x = 20,523.75 × 4,677.99
  4. Step 4: Simplify right side
    13,686.12x = 96,009,944.52
  5. Step 5: Solve for x
    x = 96,009,944.52/13,686.12
  6. Step 6: Final answer
    x = 7,015.13

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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.