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Finding the Fourth Proportional to 15,792.40, 21,796.32 and 9,419.38

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Solution

The fourth proportional to 15,792.40, 21,796.32 and 9,419.38 is: 13,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,792.40 : 21,796.32 = 9,419.38 : x
  2. Step 2: Convert to fraction form
    15,792.40/21,796.32 = 9,419.38/x
  3. Step 3: Cross multiply
    15,792.40x = 21,796.32 × 9,419.38
  4. Step 4: Simplify right side
    15,792.40x = 205,307,820.68
  5. Step 5: Solve for x
    x = 205,307,820.68/15,792.40
  6. Step 6: Final answer
    x = 13,000.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.