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Finding the Fourth Proportional to 12,462.47, 18,684.47 and 7,530.95

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Solution

The fourth proportional to 12,462.47, 18,684.47 and 7,530.95 is: 11,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.47 : 18,684.47 = 7,530.95 : x
  2. Step 2: Convert to fraction form
    12,462.47/18,684.47 = 7,530.95/x
  3. Step 3: Cross multiply
    12,462.47x = 18,684.47 × 7,530.95
  4. Step 4: Simplify right side
    12,462.47x = 140,711,678.27
  5. Step 5: Solve for x
    x = 140,711,678.27/12,462.47
  6. Step 6: Final answer
    x = 11,290.84

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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.