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Finding the Fourth Proportional to 12,499, 18,752 and 3,734.24

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Solution

The fourth proportional to 12,499, 18,752 and 3,734.24 is: 5,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,499 : 18,752 = 3,734.24 : x
  2. Step 2: Convert to fraction form
    12,499/18,752 = 3,734.24/x
  3. Step 3: Cross multiply
    12,499x = 18,752 × 3,734.24
  4. Step 4: Simplify right side
    12,499x = 70,024,468.48
  5. Step 5: Solve for x
    x = 70,024,468.48/12,499
  6. Step 6: Final answer
    x = 5,602.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.