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Finding the Fourth Proportional to 19,097.25, 28,653.17 and 7,411.38

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Solution

The fourth proportional to 19,097.25, 28,653.17 and 7,411.38 is: 11,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097.25 : 28,653.17 = 7,411.38 : x
  2. Step 2: Convert to fraction form
    19,097.25/28,653.17 = 7,411.38/x
  3. Step 3: Cross multiply
    19,097.25x = 28,653.17 × 7,411.38
  4. Step 4: Simplify right side
    19,097.25x = 212,359,494.02
  5. Step 5: Solve for x
    x = 212,359,494.02/19,097.25
  6. Step 6: Final answer
    x = 11,119.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.