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Finding the Fourth Proportional to 22,419.95, 33,634.36 and 6,409.63

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Solution

The fourth proportional to 22,419.95, 33,634.36 and 6,409.63 is: 9,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419.95 : 33,634.36 = 6,409.63 : x
  2. Step 2: Convert to fraction form
    22,419.95/33,634.36 = 6,409.63/x
  3. Step 3: Cross multiply
    22,419.95x = 33,634.36 × 6,409.63
  4. Step 4: Simplify right side
    22,419.95x = 215,583,802.89
  5. Step 5: Solve for x
    x = 215,583,802.89/22,419.95
  6. Step 6: Final answer
    x = 9,615.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.