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Finding the Fourth Proportional to 19,217.64, 28,824.06 and 5,178.78

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Solution

The fourth proportional to 19,217.64, 28,824.06 and 5,178.78 is: 7,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,217.64 : 28,824.06 = 5,178.78 : x
  2. Step 2: Convert to fraction form
    19,217.64/28,824.06 = 5,178.78/x
  3. Step 3: Cross multiply
    19,217.64x = 28,824.06 × 5,178.78
  4. Step 4: Simplify right side
    19,217.64x = 149,273,465.45
  5. Step 5: Solve for x
    x = 149,273,465.45/19,217.64
  6. Step 6: Final answer
    x = 7,767.52

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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.