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Finding the Fourth Proportional to 19,614.48, 29,425.25 and 7,152

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Solution

The fourth proportional to 19,614.48, 29,425.25 and 7,152 is: 10,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614.48 : 29,425.25 = 7,152 : x
  2. Step 2: Convert to fraction form
    19,614.48/29,425.25 = 7,152/x
  3. Step 3: Cross multiply
    19,614.48x = 29,425.25 × 7,152
  4. Step 4: Simplify right side
    19,614.48x = 210,449,388
  5. Step 5: Solve for x
    x = 210,449,388/19,614.48
  6. Step 6: Final answer
    x = 10,729.29

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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.