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Finding the Fourth Proportional to 12,634.72, 18,960.28 and 5,709.28

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Solution

The fourth proportional to 12,634.72, 18,960.28 and 5,709.28 is: 8,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.72 : 18,960.28 = 5,709.28 : x
  2. Step 2: Convert to fraction form
    12,634.72/18,960.28 = 5,709.28/x
  3. Step 3: Cross multiply
    12,634.72x = 18,960.28 × 5,709.28
  4. Step 4: Simplify right side
    12,634.72x = 108,249,547.40
  5. Step 5: Solve for x
    x = 108,249,547.40/12,634.72
  6. Step 6: Final answer
    x = 8,567.63

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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.