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Finding the Fourth Proportional to 17,264.03, 23,824.76 and 9,607.38

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Solution

The fourth proportional to 17,264.03, 23,824.76 and 9,607.38 is: 13,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,264.03 : 23,824.76 = 9,607.38 : x
  2. Step 2: Convert to fraction form
    17,264.03/23,824.76 = 9,607.38/x
  3. Step 3: Cross multiply
    17,264.03x = 23,824.76 × 9,607.38
  4. Step 4: Simplify right side
    17,264.03x = 228,893,474.69
  5. Step 5: Solve for x
    x = 228,893,474.69/17,264.03
  6. Step 6: Final answer
    x = 13,258.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.