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Finding the Fourth Proportional to 25,301.57, 37,954.17 and 9,719.19

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Solution

The fourth proportional to 25,301.57, 37,954.17 and 9,719.19 is: 14,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,301.57 : 37,954.17 = 9,719.19 : x
  2. Step 2: Convert to fraction form
    25,301.57/37,954.17 = 9,719.19/x
  3. Step 3: Cross multiply
    25,301.57x = 37,954.17 × 9,719.19
  4. Step 4: Simplify right side
    25,301.57x = 368,883,789.52
  5. Step 5: Solve for x
    x = 368,883,789.52/25,301.57
  6. Step 6: Final answer
    x = 14,579.49

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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.