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Finding the Fourth Proportional to 21,929, 32,901.72 and 13,170.20

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Solution

The fourth proportional to 21,929, 32,901.72 and 13,170.20 is: 19,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,929 : 32,901.72 = 13,170.20 : x
  2. Step 2: Convert to fraction form
    21,929/32,901.72 = 13,170.20/x
  3. Step 3: Cross multiply
    21,929x = 32,901.72 × 13,170.20
  4. Step 4: Simplify right side
    21,929x = 433,322,232.74
  5. Step 5: Solve for x
    x = 433,322,232.74/21,929
  6. Step 6: Final answer
    x = 19,760.24

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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.