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Finding the Fourth Proportional to 13,988.01, 20,985.66 and 5,223

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Solution

The fourth proportional to 13,988.01, 20,985.66 and 5,223 is: 7,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.01 : 20,985.66 = 5,223 : x
  2. Step 2: Convert to fraction form
    13,988.01/20,985.66 = 5,223/x
  3. Step 3: Cross multiply
    13,988.01x = 20,985.66 × 5,223
  4. Step 4: Simplify right side
    13,988.01x = 109,608,102.18
  5. Step 5: Solve for x
    x = 109,608,102.18/13,988.01
  6. Step 6: Final answer
    x = 7,835.86

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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.