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Finding the Fourth Proportional to 23,978.32, 33,072.32 and 15,897.36

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Solution

The fourth proportional to 23,978.32, 33,072.32 and 15,897.36 is: 21,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.32 : 33,072.32 = 15,897.36 : x
  2. Step 2: Convert to fraction form
    23,978.32/33,072.32 = 15,897.36/x
  3. Step 3: Cross multiply
    23,978.32x = 33,072.32 × 15,897.36
  4. Step 4: Simplify right side
    23,978.32x = 525,762,577.08
  5. Step 5: Solve for x
    x = 525,762,577.08/23,978.32
  6. Step 6: Final answer
    x = 21,926.58

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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.