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Finding the Fourth Proportional to 22,846.02, 31,534.22 and 13,288.16

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Solution

The fourth proportional to 22,846.02, 31,534.22 and 13,288.16 is: 18,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.02 : 31,534.22 = 13,288.16 : x
  2. Step 2: Convert to fraction form
    22,846.02/31,534.22 = 13,288.16/x
  3. Step 3: Cross multiply
    22,846.02x = 31,534.22 × 13,288.16
  4. Step 4: Simplify right side
    22,846.02x = 419,031,704.81
  5. Step 5: Solve for x
    x = 419,031,704.81/22,846.02
  6. Step 6: Final answer
    x = 18,341.56

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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.