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Finding the Fourth Proportional to 23,577.80, 32,543.03 and 13,512.13

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Solution

The fourth proportional to 23,577.80, 32,543.03 and 13,512.13 is: 18,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.80 : 32,543.03 = 13,512.13 : x
  2. Step 2: Convert to fraction form
    23,577.80/32,543.03 = 13,512.13/x
  3. Step 3: Cross multiply
    23,577.80x = 32,543.03 × 13,512.13
  4. Step 4: Simplify right side
    23,577.80x = 439,725,604.38
  5. Step 5: Solve for x
    x = 439,725,604.38/23,577.80
  6. Step 6: Final answer
    x = 18,649.99

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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.