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Finding the Fourth Proportional to 23,259.63, 32,098.38 and 12,649.32

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Solution

The fourth proportional to 23,259.63, 32,098.38 and 12,649.32 is: 17,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,259.63 : 32,098.38 = 12,649.32 : x
  2. Step 2: Convert to fraction form
    23,259.63/32,098.38 = 12,649.32/x
  3. Step 3: Cross multiply
    23,259.63x = 32,098.38 × 12,649.32
  4. Step 4: Simplify right side
    23,259.63x = 406,022,680.10
  5. Step 5: Solve for x
    x = 406,022,680.10/23,259.63
  6. Step 6: Final answer
    x = 17,456.11

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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.