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Finding the Fourth Proportional to 19,240, 28,862.72 and 7,546.88

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Solution

The fourth proportional to 19,240, 28,862.72 and 7,546.88 is: 11,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,240 : 28,862.72 = 7,546.88 : x
  2. Step 2: Convert to fraction form
    19,240/28,862.72 = 7,546.88/x
  3. Step 3: Cross multiply
    19,240x = 28,862.72 × 7,546.88
  4. Step 4: Simplify right side
    19,240x = 217,823,484.31
  5. Step 5: Solve for x
    x = 217,823,484.31/19,240
  6. Step 6: Final answer
    x = 11,321.39

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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.