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Finding the Fourth Proportional to 17,622.21, 24,320.20 and 9,666.08

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Solution

The fourth proportional to 17,622.21, 24,320.20 and 9,666.08 is: 13,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.21 : 24,320.20 = 9,666.08 : x
  2. Step 2: Convert to fraction form
    17,622.21/24,320.20 = 9,666.08/x
  3. Step 3: Cross multiply
    17,622.21x = 24,320.20 × 9,666.08
  4. Step 4: Simplify right side
    17,622.21x = 235,081,099.18
  5. Step 5: Solve for x
    x = 235,081,099.18/17,622.21
  6. Step 6: Final answer
    x = 13,340.05

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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.