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Finding the Fourth Proportional to 13,931.42, 19,224.42 and 7,644.20

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Solution

The fourth proportional to 13,931.42, 19,224.42 and 7,644.20 is: 10,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931.42 : 19,224.42 = 7,644.20 : x
  2. Step 2: Convert to fraction form
    13,931.42/19,224.42 = 7,644.20/x
  3. Step 3: Cross multiply
    13,931.42x = 19,224.42 × 7,644.20
  4. Step 4: Simplify right side
    13,931.42x = 146,955,311.36
  5. Step 5: Solve for x
    x = 146,955,311.36/13,931.42
  6. Step 6: Final answer
    x = 10,548.48

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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.