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Finding the Fourth Proportional to 13,985.84, 20,965.80 and 6,961.52

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Solution

The fourth proportional to 13,985.84, 20,965.80 and 6,961.52 is: 10,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.84 : 20,965.80 = 6,961.52 : x
  2. Step 2: Convert to fraction form
    13,985.84/20,965.80 = 6,961.52/x
  3. Step 3: Cross multiply
    13,985.84x = 20,965.80 × 6,961.52
  4. Step 4: Simplify right side
    13,985.84x = 145,953,836.02
  5. Step 5: Solve for x
    x = 145,953,836.02/13,985.84
  6. Step 6: Final answer
    x = 10,435.83

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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.