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Finding the Fourth Proportional to 13,932.03, 19,225.71 and 7,644

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Solution

The fourth proportional to 13,932.03, 19,225.71 and 7,644 is: 10,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932.03 : 19,225.71 = 7,644 : x
  2. Step 2: Convert to fraction form
    13,932.03/19,225.71 = 7,644/x
  3. Step 3: Cross multiply
    13,932.03x = 19,225.71 × 7,644
  4. Step 4: Simplify right side
    13,932.03x = 146,961,327.24
  5. Step 5: Solve for x
    x = 146,961,327.24/13,932.03
  6. Step 6: Final answer
    x = 10,548.45

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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.