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Finding the Fourth Proportional to 12,468.84, 18,697.03 and 4,145.93

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Solution

The fourth proportional to 12,468.84, 18,697.03 and 4,145.93 is: 6,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.84 : 18,697.03 = 4,145.93 : x
  2. Step 2: Convert to fraction form
    12,468.84/18,697.03 = 4,145.93/x
  3. Step 3: Cross multiply
    12,468.84x = 18,697.03 × 4,145.93
  4. Step 4: Simplify right side
    12,468.84x = 77,516,649.02
  5. Step 5: Solve for x
    x = 77,516,649.02/12,468.84
  6. Step 6: Final answer
    x = 6,216.83

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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.