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Finding the Fourth Proportional to 19,586.16, 29,419.02 and 17,298

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Solution

The fourth proportional to 19,586.16, 29,419.02 and 17,298 is: 25,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.16 : 29,419.02 = 17,298 : x
  2. Step 2: Convert to fraction form
    19,586.16/29,419.02 = 17,298/x
  3. Step 3: Cross multiply
    19,586.16x = 29,419.02 × 17,298
  4. Step 4: Simplify right side
    19,586.16x = 508,890,207.96
  5. Step 5: Solve for x
    x = 508,890,207.96/19,586.16
  6. Step 6: Final answer
    x = 25,982.13

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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.