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Finding the Fourth Proportional to 19,156.78, 28,731 and 6,007.42

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Solution

The fourth proportional to 19,156.78, 28,731 and 6,007.42 is: 9,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,156.78 : 28,731 = 6,007.42 : x
  2. Step 2: Convert to fraction form
    19,156.78/28,731 = 6,007.42/x
  3. Step 3: Cross multiply
    19,156.78x = 28,731 × 6,007.42
  4. Step 4: Simplify right side
    19,156.78x = 172,599,184.02
  5. Step 5: Solve for x
    x = 172,599,184.02/19,156.78
  6. Step 6: Final answer
    x = 9,009.82

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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.