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Finding the Fourth Proportional to 19,632.68, 29,453.88 and 9,242

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Solution

The fourth proportional to 19,632.68, 29,453.88 and 9,242 is: 13,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632.68 : 29,453.88 = 9,242 : x
  2. Step 2: Convert to fraction form
    19,632.68/29,453.88 = 9,242/x
  3. Step 3: Cross multiply
    19,632.68x = 29,453.88 × 9,242
  4. Step 4: Simplify right side
    19,632.68x = 272,212,758.96
  5. Step 5: Solve for x
    x = 272,212,758.96/19,632.68
  6. Step 6: Final answer
    x = 13,865.29

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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.