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Finding the Fourth Proportional to 14,894.02, 22,294.41 and 9,622

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Solution

The fourth proportional to 14,894.02, 22,294.41 and 9,622 is: 14,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894.02 : 22,294.41 = 9,622 : x
  2. Step 2: Convert to fraction form
    14,894.02/22,294.41 = 9,622/x
  3. Step 3: Cross multiply
    14,894.02x = 22,294.41 × 9,622
  4. Step 4: Simplify right side
    14,894.02x = 214,516,813.02
  5. Step 5: Solve for x
    x = 214,516,813.02/14,894.02
  6. Step 6: Final answer
    x = 14,402.88

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Why These Related Problems?

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