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Finding the Fourth Proportional to 21,512.42, 32,267.47 and 6,719.64

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Solution

The fourth proportional to 21,512.42, 32,267.47 and 6,719.64 is: 10,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.42 : 32,267.47 = 6,719.64 : x
  2. Step 2: Convert to fraction form
    21,512.42/32,267.47 = 6,719.64/x
  3. Step 3: Cross multiply
    21,512.42x = 32,267.47 × 6,719.64
  4. Step 4: Simplify right side
    21,512.42x = 216,825,782.11
  5. Step 5: Solve for x
    x = 216,825,782.11/21,512.42
  6. Step 6: Final answer
    x = 10,079.10

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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.