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Finding the Fourth Proportional to 14,773.32, 20,388.75 and 9,034.13

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Solution

The fourth proportional to 14,773.32, 20,388.75 and 9,034.13 is: 12,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.32 : 20,388.75 = 9,034.13 : x
  2. Step 2: Convert to fraction form
    14,773.32/20,388.75 = 9,034.13/x
  3. Step 3: Cross multiply
    14,773.32x = 20,388.75 × 9,034.13
  4. Step 4: Simplify right side
    14,773.32x = 184,194,635.13
  5. Step 5: Solve for x
    x = 184,194,635.13/14,773.32
  6. Step 6: Final answer
    x = 12,468.06

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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.