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Finding the Fourth Proportional to 17,352, 23,949 and 9,900

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Solution

The fourth proportional to 17,352, 23,949 and 9,900 is: 13,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,352 : 23,949 = 9,900 : x
  2. Step 2: Convert to fraction form
    17,352/23,949 = 9,900/x
  3. Step 3: Cross multiply
    17,352x = 23,949 × 9,900
  4. Step 4: Simplify right side
    17,352x = 237,095,100
  5. Step 5: Solve for x
    x = 237,095,100/17,352
  6. Step 6: Final answer
    x = 13,663.85

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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.