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Finding the Fourth Proportional to 12,421.20, 18,624.75 and 8,477.24

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Solution

The fourth proportional to 12,421.20, 18,624.75 and 8,477.24 is: 12,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.20 : 18,624.75 = 8,477.24 : x
  2. Step 2: Convert to fraction form
    12,421.20/18,624.75 = 8,477.24/x
  3. Step 3: Cross multiply
    12,421.20x = 18,624.75 × 8,477.24
  4. Step 4: Simplify right side
    12,421.20x = 157,886,554.04
  5. Step 5: Solve for x
    x = 157,886,554.04/12,421.20
  6. Step 6: Final answer
    x = 12,711.05

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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.