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Finding the Fourth Proportional to 12,506.40, 18,756.90 and 5,486.40

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Solution

The fourth proportional to 12,506.40, 18,756.90 and 5,486.40 is: 8,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.40 : 18,756.90 = 5,486.40 : x
  2. Step 2: Convert to fraction form
    12,506.40/18,756.90 = 5,486.40/x
  3. Step 3: Cross multiply
    12,506.40x = 18,756.90 × 5,486.40
  4. Step 4: Simplify right side
    12,506.40x = 102,907,856.16
  5. Step 5: Solve for x
    x = 102,907,856.16/12,506.40
  6. Step 6: Final answer
    x = 8,228.42

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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.