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Finding the Fourth Proportional to 20,774.02, 31,114.55 and 9,664.06

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Solution

The fourth proportional to 20,774.02, 31,114.55 and 9,664.06 is: 14,474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.02 : 31,114.55 = 9,664.06 : x
  2. Step 2: Convert to fraction form
    20,774.02/31,114.55 = 9,664.06/x
  3. Step 3: Cross multiply
    20,774.02x = 31,114.55 × 9,664.06
  4. Step 4: Simplify right side
    20,774.02x = 300,692,722.50
  5. Step 5: Solve for x
    x = 300,692,722.50/20,774.02
  6. Step 6: Final answer
    x = 14,474.46

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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.