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Finding the Fourth Proportional to 13,931.66, 19,226.19 and 7,644.22

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Solution

The fourth proportional to 13,931.66, 19,226.19 and 7,644.22 is: 10,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931.66 : 19,226.19 = 7,644.22 : x
  2. Step 2: Convert to fraction form
    13,931.66/19,226.19 = 7,644.22/x
  3. Step 3: Cross multiply
    13,931.66x = 19,226.19 × 7,644.22
  4. Step 4: Simplify right side
    13,931.66x = 146,969,226.12
  5. Step 5: Solve for x
    x = 146,969,226.12/13,931.66
  6. Step 6: Final answer
    x = 10,549.30

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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.