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Finding the Fourth Proportional to 14,665.28, 22,004.12 and 7,650.47

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Solution

The fourth proportional to 14,665.28, 22,004.12 and 7,650.47 is: 11,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.28 : 22,004.12 = 7,650.47 : x
  2. Step 2: Convert to fraction form
    14,665.28/22,004.12 = 7,650.47/x
  3. Step 3: Cross multiply
    14,665.28x = 22,004.12 × 7,650.47
  4. Step 4: Simplify right side
    14,665.28x = 168,341,934.07
  5. Step 5: Solve for x
    x = 168,341,934.07/14,665.28
  6. Step 6: Final answer
    x = 11,478.95

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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.