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Finding the Fourth Proportional to 15,929.64, 21,996.90 and 9,971.46

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Solution

The fourth proportional to 15,929.64, 21,996.90 and 9,971.46 is: 13,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929.64 : 21,996.90 = 9,971.46 : x
  2. Step 2: Convert to fraction form
    15,929.64/21,996.90 = 9,971.46/x
  3. Step 3: Cross multiply
    15,929.64x = 21,996.90 × 9,971.46
  4. Step 4: Simplify right side
    15,929.64x = 219,341,208.47
  5. Step 5: Solve for x
    x = 219,341,208.47/15,929.64
  6. Step 6: Final answer
    x = 13,769.38

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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.