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Finding the Fourth Proportional to 14,822.02, 20,447.53 and 8,530.75

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Solution

The fourth proportional to 14,822.02, 20,447.53 and 8,530.75 is: 11,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.02 : 20,447.53 = 8,530.75 : x
  2. Step 2: Convert to fraction form
    14,822.02/20,447.53 = 8,530.75/x
  3. Step 3: Cross multiply
    14,822.02x = 20,447.53 × 8,530.75
  4. Step 4: Simplify right side
    14,822.02x = 174,432,766.55
  5. Step 5: Solve for x
    x = 174,432,766.55/14,822.02
  6. Step 6: Final answer
    x = 11,768.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.