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Finding the Fourth Proportional to 14,468.50, 21,702.73 and 9,502.22

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Solution

The fourth proportional to 14,468.50, 21,702.73 and 9,502.22 is: 14,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.50 : 21,702.73 = 9,502.22 : x
  2. Step 2: Convert to fraction form
    14,468.50/21,702.73 = 9,502.22/x
  3. Step 3: Cross multiply
    14,468.50x = 21,702.73 × 9,502.22
  4. Step 4: Simplify right side
    14,468.50x = 206,224,115.06
  5. Step 5: Solve for x
    x = 206,224,115.06/14,468.50
  6. Step 6: Final answer
    x = 14,253.32

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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.