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Finding the Fourth Proportional to 13,384.89, 18,471.29 and 7,416.65

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Solution

The fourth proportional to 13,384.89, 18,471.29 and 7,416.65 is: 10,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.89 : 18,471.29 = 7,416.65 : x
  2. Step 2: Convert to fraction form
    13,384.89/18,471.29 = 7,416.65/x
  3. Step 3: Cross multiply
    13,384.89x = 18,471.29 × 7,416.65
  4. Step 4: Simplify right side
    13,384.89x = 136,994,963.54
  5. Step 5: Solve for x
    x = 136,994,963.54/13,384.89
  6. Step 6: Final answer
    x = 10,235.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.