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Finding the Fourth Proportional to 16,235.38, 22,405.41 and 9,428.91

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Solution

The fourth proportional to 16,235.38, 22,405.41 and 9,428.91 is: 13,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.38 : 22,405.41 = 9,428.91 : x
  2. Step 2: Convert to fraction form
    16,235.38/22,405.41 = 9,428.91/x
  3. Step 3: Cross multiply
    16,235.38x = 22,405.41 × 9,428.91
  4. Step 4: Simplify right side
    16,235.38x = 211,258,594.40
  5. Step 5: Solve for x
    x = 211,258,594.40/16,235.38
  6. Step 6: Final answer
    x = 13,012.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.