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Finding the Fourth Proportional to 23,897.86, 32,978.62 and 13,287.26

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Solution

The fourth proportional to 23,897.86, 32,978.62 and 13,287.26 is: 18,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.86 : 32,978.62 = 13,287.26 : x
  2. Step 2: Convert to fraction form
    23,897.86/32,978.62 = 13,287.26/x
  3. Step 3: Cross multiply
    23,897.86x = 32,978.62 × 13,287.26
  4. Step 4: Simplify right side
    23,897.86x = 438,195,498.38
  5. Step 5: Solve for x
    x = 438,195,498.38/23,897.86
  6. Step 6: Final answer
    x = 18,336.18

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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.