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Finding the Fourth Proportional to 14,642.16, 20,208 and 11,282.24

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Solution

The fourth proportional to 14,642.16, 20,208 and 11,282.24 is: 15,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.16 : 20,208 = 11,282.24 : x
  2. Step 2: Convert to fraction form
    14,642.16/20,208 = 11,282.24/x
  3. Step 3: Cross multiply
    14,642.16x = 20,208 × 11,282.24
  4. Step 4: Simplify right side
    14,642.16x = 227,991,505.92
  5. Step 5: Solve for x
    x = 227,991,505.92/14,642.16
  6. Step 6: Final answer
    x = 15,570.89

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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.