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Finding the Fourth Proportional to 12,421.86, 18,619.83 and 5,031.42

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Solution

The fourth proportional to 12,421.86, 18,619.83 and 5,031.42 is: 7,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.86 : 18,619.83 = 5,031.42 : x
  2. Step 2: Convert to fraction form
    12,421.86/18,619.83 = 5,031.42/x
  3. Step 3: Cross multiply
    12,421.86x = 18,619.83 × 5,031.42
  4. Step 4: Simplify right side
    12,421.86x = 93,684,185.06
  5. Step 5: Solve for x
    x = 93,684,185.06/12,421.86
  6. Step 6: Final answer
    x = 7,541.88

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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.