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Finding the Fourth Proportional to 12,499, 18,742.12 and 4,176.02

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Solution

The fourth proportional to 12,499, 18,742.12 and 4,176.02 is: 6,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,499 : 18,742.12 = 4,176.02 : x
  2. Step 2: Convert to fraction form
    12,499/18,742.12 = 4,176.02/x
  3. Step 3: Cross multiply
    12,499x = 18,742.12 × 4,176.02
  4. Step 4: Simplify right side
    12,499x = 78,267,467.96
  5. Step 5: Solve for x
    x = 78,267,467.96/12,499
  6. Step 6: Final answer
    x = 6,261.90

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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.