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Finding the Fourth Proportional to 22,248.38, 30,702.75 and 12,176.82

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Solution

The fourth proportional to 22,248.38, 30,702.75 and 12,176.82 is: 16,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,248.38 : 30,702.75 = 12,176.82 : x
  2. Step 2: Convert to fraction form
    22,248.38/30,702.75 = 12,176.82/x
  3. Step 3: Cross multiply
    22,248.38x = 30,702.75 × 12,176.82
  4. Step 4: Simplify right side
    22,248.38x = 373,861,860.26
  5. Step 5: Solve for x
    x = 373,861,860.26/22,248.38
  6. Step 6: Final answer
    x = 16,804.00

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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.