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Finding the Fourth Proportional to 22,246.38, 30,702.24 and 13,292.64

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Solution

The fourth proportional to 22,246.38, 30,702.24 and 13,292.64 is: 18,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,246.38 : 30,702.24 = 13,292.64 : x
  2. Step 2: Convert to fraction form
    22,246.38/30,702.24 = 13,292.64/x
  3. Step 3: Cross multiply
    22,246.38x = 30,702.24 × 13,292.64
  4. Step 4: Simplify right side
    22,246.38x = 408,113,823.51
  5. Step 5: Solve for x
    x = 408,113,823.51/22,246.38
  6. Step 6: Final answer
    x = 18,345.18

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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.