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Finding the Fourth Proportional to 22,002.71, 33,017.76 and 13,698.99

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Solution

The fourth proportional to 22,002.71, 33,017.76 and 13,698.99 is: 20,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002.71 : 33,017.76 = 13,698.99 : x
  2. Step 2: Convert to fraction form
    22,002.71/33,017.76 = 13,698.99/x
  3. Step 3: Cross multiply
    22,002.71x = 33,017.76 × 13,698.99
  4. Step 4: Simplify right side
    22,002.71x = 452,309,964.06
  5. Step 5: Solve for x
    x = 452,309,964.06/22,002.71
  6. Step 6: Final answer
    x = 20,557.02

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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.