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Finding the Fourth Proportional to 14,302, 21,464.52 and 7,378.48

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Solution

The fourth proportional to 14,302, 21,464.52 and 7,378.48 is: 11,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302 : 21,464.52 = 7,378.48 : x
  2. Step 2: Convert to fraction form
    14,302/21,464.52 = 7,378.48/x
  3. Step 3: Cross multiply
    14,302x = 21,464.52 × 7,378.48
  4. Step 4: Simplify right side
    14,302x = 158,375,531.53
  5. Step 5: Solve for x
    x = 158,375,531.53/14,302
  6. Step 6: Final answer
    x = 11,073.66

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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.