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Finding the Fourth Proportional to 22,284.34, 33,419.23 and 10,434.45

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Solution

The fourth proportional to 22,284.34, 33,419.23 and 10,434.45 is: 15,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.34 : 33,419.23 = 10,434.45 : x
  2. Step 2: Convert to fraction form
    22,284.34/33,419.23 = 10,434.45/x
  3. Step 3: Cross multiply
    22,284.34x = 33,419.23 × 10,434.45
  4. Step 4: Simplify right side
    22,284.34x = 348,711,284.47
  5. Step 5: Solve for x
    x = 348,711,284.47/22,284.34
  6. Step 6: Final answer
    x = 15,648.27

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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.