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Finding the Fourth Proportional to 15,308.43, 22,960.49 and 4,776

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Solution

The fourth proportional to 15,308.43, 22,960.49 and 4,776 is: 7,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,308.43 : 22,960.49 = 4,776 : x
  2. Step 2: Convert to fraction form
    15,308.43/22,960.49 = 4,776/x
  3. Step 3: Cross multiply
    15,308.43x = 22,960.49 × 4,776
  4. Step 4: Simplify right side
    15,308.43x = 109,659,276.36
  5. Step 5: Solve for x
    x = 109,659,276.36/15,308.43
  6. Step 6: Final answer
    x = 7,163.33

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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.