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Finding the Fourth Proportional to 22,419.58, 30,911.61 and 14,021.50

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Solution

The fourth proportional to 22,419.58, 30,911.61 and 14,021.50 is: 19,332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419.58 : 30,911.61 = 14,021.50 : x
  2. Step 2: Convert to fraction form
    22,419.58/30,911.61 = 14,021.50/x
  3. Step 3: Cross multiply
    22,419.58x = 30,911.61 × 14,021.50
  4. Step 4: Simplify right side
    22,419.58x = 433,427,139.62
  5. Step 5: Solve for x
    x = 433,427,139.62/22,419.58
  6. Step 6: Final answer
    x = 19,332.53

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