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Finding the Fourth Proportional to 19,248.72, 28,869.84 and 6,778

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Solution

The fourth proportional to 19,248.72, 28,869.84 and 6,778 is: 10,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,248.72 : 28,869.84 = 6,778 : x
  2. Step 2: Convert to fraction form
    19,248.72/28,869.84 = 6,778/x
  3. Step 3: Cross multiply
    19,248.72x = 28,869.84 × 6,778
  4. Step 4: Simplify right side
    19,248.72x = 195,679,775.52
  5. Step 5: Solve for x
    x = 195,679,775.52/19,248.72
  6. Step 6: Final answer
    x = 10,165.86

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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.