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Finding the Fourth Proportional to 14,468.52, 21,702.78 and 4,610.82

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Solution

The fourth proportional to 14,468.52, 21,702.78 and 4,610.82 is: 6,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.52 : 21,702.78 = 4,610.82 : x
  2. Step 2: Convert to fraction form
    14,468.52/21,702.78 = 4,610.82/x
  3. Step 3: Cross multiply
    14,468.52x = 21,702.78 × 4,610.82
  4. Step 4: Simplify right side
    14,468.52x = 100,067,612.08
  5. Step 5: Solve for x
    x = 100,067,612.08/14,468.52
  6. Step 6: Final answer
    x = 6,916.23

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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.