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Finding the Fourth Proportional to 19,109, 28,665.12 and 5,258

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Solution

The fourth proportional to 19,109, 28,665.12 and 5,258 is: 7,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,109 : 28,665.12 = 5,258 : x
  2. Step 2: Convert to fraction form
    19,109/28,665.12 = 5,258/x
  3. Step 3: Cross multiply
    19,109x = 28,665.12 × 5,258
  4. Step 4: Simplify right side
    19,109x = 150,721,200.96
  5. Step 5: Solve for x
    x = 150,721,200.96/19,109
  6. Step 6: Final answer
    x = 7,887.45

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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.