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Finding the Fourth Proportional to 13,870.35, 20,808.77 and 4,009.82

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Solution

The fourth proportional to 13,870.35, 20,808.77 and 4,009.82 is: 6,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.35 : 20,808.77 = 4,009.82 : x
  2. Step 2: Convert to fraction form
    13,870.35/20,808.77 = 4,009.82/x
  3. Step 3: Cross multiply
    13,870.35x = 20,808.77 × 4,009.82
  4. Step 4: Simplify right side
    13,870.35x = 83,439,298.03
  5. Step 5: Solve for x
    x = 83,439,298.03/13,870.35
  6. Step 6: Final answer
    x = 6,015.66

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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.