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Finding the Fourth Proportional to 16,023.24, 22,114.13 and 9,653.13

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Solution

The fourth proportional to 16,023.24, 22,114.13 and 9,653.13 is: 13,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.24 : 22,114.13 = 9,653.13 : x
  2. Step 2: Convert to fraction form
    16,023.24/22,114.13 = 9,653.13/x
  3. Step 3: Cross multiply
    16,023.24x = 22,114.13 × 9,653.13
  4. Step 4: Simplify right side
    16,023.24x = 213,470,523.46
  5. Step 5: Solve for x
    x = 213,470,523.46/16,023.24
  6. Step 6: Final answer
    x = 13,322.56

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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.