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Finding the Fourth Proportional to 12,421.34, 18,628.06 and 4,099.80

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Solution

The fourth proportional to 12,421.34, 18,628.06 and 4,099.80 is: 6,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.34 : 18,628.06 = 4,099.80 : x
  2. Step 2: Convert to fraction form
    12,421.34/18,628.06 = 4,099.80/x
  3. Step 3: Cross multiply
    12,421.34x = 18,628.06 × 4,099.80
  4. Step 4: Simplify right side
    12,421.34x = 76,371,356.71
  5. Step 5: Solve for x
    x = 76,371,356.71/12,421.34
  6. Step 6: Final answer
    x = 6,148.40

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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.