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Finding the Fourth Proportional to 16,544.84, 22,833.06 and 9,471.56

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Solution

The fourth proportional to 16,544.84, 22,833.06 and 9,471.56 is: 13,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.84 : 22,833.06 = 9,471.56 : x
  2. Step 2: Convert to fraction form
    16,544.84/22,833.06 = 9,471.56/x
  3. Step 3: Cross multiply
    16,544.84x = 22,833.06 × 9,471.56
  4. Step 4: Simplify right side
    16,544.84x = 216,264,697.77
  5. Step 5: Solve for x
    x = 216,264,697.77/16,544.84
  6. Step 6: Final answer
    x = 13,071.43

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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.