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Finding the Fourth Proportional to 14,702.60, 22,022.22 and 6,899.72

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Solution

The fourth proportional to 14,702.60, 22,022.22 and 6,899.72 is: 10,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.60 : 22,022.22 = 6,899.72 : x
  2. Step 2: Convert to fraction form
    14,702.60/22,022.22 = 6,899.72/x
  3. Step 3: Cross multiply
    14,702.60x = 22,022.22 × 6,899.72
  4. Step 4: Simplify right side
    14,702.60x = 151,947,151.78
  5. Step 5: Solve for x
    x = 151,947,151.78/14,702.60
  6. Step 6: Final answer
    x = 10,334.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.