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Finding the Fourth Proportional to 16,509.42, 22,777.47 and 9,797.13

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Solution

The fourth proportional to 16,509.42, 22,777.47 and 9,797.13 is: 13,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.42 : 22,777.47 = 9,797.13 : x
  2. Step 2: Convert to fraction form
    16,509.42/22,777.47 = 9,797.13/x
  3. Step 3: Cross multiply
    16,509.42x = 22,777.47 × 9,797.13
  4. Step 4: Simplify right side
    16,509.42x = 223,153,834.66
  5. Step 5: Solve for x
    x = 223,153,834.66/16,509.42
  6. Step 6: Final answer
    x = 13,516.76

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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.