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Finding the Fourth Proportional to 23,978.61, 33,098.91 and 15,802.86

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Solution

The fourth proportional to 23,978.61, 33,098.91 and 15,802.86 is: 21,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.61 : 33,098.91 = 15,802.86 : x
  2. Step 2: Convert to fraction form
    23,978.61/33,098.91 = 15,802.86/x
  3. Step 3: Cross multiply
    23,978.61x = 33,098.91 × 15,802.86
  4. Step 4: Simplify right side
    23,978.61x = 523,057,440.88
  5. Step 5: Solve for x
    x = 523,057,440.88/23,978.61
  6. Step 6: Final answer
    x = 21,813.50

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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.