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Finding the Fourth Proportional to 17,281, 23,848.86 and 9,829

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Solution

The fourth proportional to 17,281, 23,848.86 and 9,829 is: 13,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281 : 23,848.86 = 9,829 : x
  2. Step 2: Convert to fraction form
    17,281/23,848.86 = 9,829/x
  3. Step 3: Cross multiply
    17,281x = 23,848.86 × 9,829
  4. Step 4: Simplify right side
    17,281x = 234,410,444.94
  5. Step 5: Solve for x
    x = 234,410,444.94/17,281
  6. Step 6: Final answer
    x = 13,564.63

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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.