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Finding the Fourth Proportional to 23,897.61, 32,978.63 and 13,287.24

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Solution

The fourth proportional to 23,897.61, 32,978.63 and 13,287.24 is: 18,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.61 : 32,978.63 = 13,287.24 : x
  2. Step 2: Convert to fraction form
    23,897.61/32,978.63 = 13,287.24/x
  3. Step 3: Cross multiply
    23,897.61x = 32,978.63 × 13,287.24
  4. Step 4: Simplify right side
    23,897.61x = 438,194,905.25
  5. Step 5: Solve for x
    x = 438,194,905.25/23,897.61
  6. Step 6: Final answer
    x = 18,336.35

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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.