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Finding the Fourth Proportional to 16,509.18, 22,784.24 and 9,434.23

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Solution

The fourth proportional to 16,509.18, 22,784.24 and 9,434.23 is: 13,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.18 : 22,784.24 = 9,434.23 : x
  2. Step 2: Convert to fraction form
    16,509.18/22,784.24 = 9,434.23/x
  3. Step 3: Cross multiply
    16,509.18x = 22,784.24 × 9,434.23
  4. Step 4: Simplify right side
    16,509.18x = 214,951,760.54
  5. Step 5: Solve for x
    x = 214,951,760.54/16,509.18
  6. Step 6: Final answer
    x = 13,020.14

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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.