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Finding the Fourth Proportional to 17,264, 25,900.32 and 7,398.40

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Solution

The fourth proportional to 17,264, 25,900.32 and 7,398.40 is: 11,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,264 : 25,900.32 = 7,398.40 : x
  2. Step 2: Convert to fraction form
    17,264/25,900.32 = 7,398.40/x
  3. Step 3: Cross multiply
    17,264x = 25,900.32 × 7,398.40
  4. Step 4: Simplify right side
    17,264x = 191,620,927.49
  5. Step 5: Solve for x
    x = 191,620,927.49/17,264
  6. Step 6: Final answer
    x = 11,099.45

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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.