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Finding the Fourth Proportional to 19,127, 28,691.58 and 6,815

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Solution

The fourth proportional to 19,127, 28,691.58 and 6,815 is: 10,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,127 : 28,691.58 = 6,815 : x
  2. Step 2: Convert to fraction form
    19,127/28,691.58 = 6,815/x
  3. Step 3: Cross multiply
    19,127x = 28,691.58 × 6,815
  4. Step 4: Simplify right side
    19,127x = 195,533,117.70
  5. Step 5: Solve for x
    x = 195,533,117.70/19,127
  6. Step 6: Final answer
    x = 10,222.88

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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.