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Finding the Fourth Proportional to 17,293.05, 25,898 and 9,875.02

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Solution

The fourth proportional to 17,293.05, 25,898 and 9,875.02 is: 14,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,293.05 : 25,898 = 9,875.02 : x
  2. Step 2: Convert to fraction form
    17,293.05/25,898 = 9,875.02/x
  3. Step 3: Cross multiply
    17,293.05x = 25,898 × 9,875.02
  4. Step 4: Simplify right side
    17,293.05x = 255,743,267.96
  5. Step 5: Solve for x
    x = 255,743,267.96/17,293.05
  6. Step 6: Final answer
    x = 14,788.79

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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.