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Finding the Fourth Proportional to 22,690.08, 34,028.64 and 9,540

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Solution

The fourth proportional to 22,690.08, 34,028.64 and 9,540 is: 14,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,690.08 : 34,028.64 = 9,540 : x
  2. Step 2: Convert to fraction form
    22,690.08/34,028.64 = 9,540/x
  3. Step 3: Cross multiply
    22,690.08x = 34,028.64 × 9,540
  4. Step 4: Simplify right side
    22,690.08x = 324,633,225.60
  5. Step 5: Solve for x
    x = 324,633,225.60/22,690.08
  6. Step 6: Final answer
    x = 14,307.28

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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.