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Finding the Fourth Proportional to 13,349.87, 20,024.69 and 9,384.77

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Solution

The fourth proportional to 13,349.87, 20,024.69 and 9,384.77 is: 14,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.87 : 20,024.69 = 9,384.77 : x
  2. Step 2: Convert to fraction form
    13,349.87/20,024.69 = 9,384.77/x
  3. Step 3: Cross multiply
    13,349.87x = 20,024.69 × 9,384.77
  4. Step 4: Simplify right side
    13,349.87x = 187,927,063.05
  5. Step 5: Solve for x
    x = 187,927,063.05/13,349.87
  6. Step 6: Final answer
    x = 14,077.07

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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.