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Finding the Fourth Proportional to 12,801, 17,649.18 and 10,524

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Solution

The fourth proportional to 12,801, 17,649.18 and 10,524 is: 14,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801 : 17,649.18 = 10,524 : x
  2. Step 2: Convert to fraction form
    12,801/17,649.18 = 10,524/x
  3. Step 3: Cross multiply
    12,801x = 17,649.18 × 10,524
  4. Step 4: Simplify right side
    12,801x = 185,739,970.32
  5. Step 5: Solve for x
    x = 185,739,970.32/12,801
  6. Step 6: Final answer
    x = 14,509.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.