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Finding the Fourth Proportional to 12,259.34, 18,384.78 and 4,861.88

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Solution

The fourth proportional to 12,259.34, 18,384.78 and 4,861.88 is: 7,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.34 : 18,384.78 = 4,861.88 : x
  2. Step 2: Convert to fraction form
    12,259.34/18,384.78 = 4,861.88/x
  3. Step 3: Cross multiply
    12,259.34x = 18,384.78 × 4,861.88
  4. Step 4: Simplify right side
    12,259.34x = 89,384,594.19
  5. Step 5: Solve for x
    x = 89,384,594.19/12,259.34
  6. Step 6: Final answer
    x = 7,291.14

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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.