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Finding the Fourth Proportional to 30,467.27, 45,684.02 and 12,468.14

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Solution

The fourth proportional to 30,467.27, 45,684.02 and 12,468.14 is: 18,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,467.27 : 45,684.02 = 12,468.14 : x
  2. Step 2: Convert to fraction form
    30,467.27/45,684.02 = 12,468.14/x
  3. Step 3: Cross multiply
    30,467.27x = 45,684.02 × 12,468.14
  4. Step 4: Simplify right side
    30,467.27x = 569,594,808.99
  5. Step 5: Solve for x
    x = 569,594,808.99/30,467.27
  6. Step 6: Final answer
    x = 18,695.30

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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.