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Finding the Fourth Proportional to 21,764.40, 32,646.60 and 15,422.10

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Solution

The fourth proportional to 21,764.40, 32,646.60 and 15,422.10 is: 23,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,764.40 : 32,646.60 = 15,422.10 : x
  2. Step 2: Convert to fraction form
    21,764.40/32,646.60 = 15,422.10/x
  3. Step 3: Cross multiply
    21,764.40x = 32,646.60 × 15,422.10
  4. Step 4: Simplify right side
    21,764.40x = 503,479,129.86
  5. Step 5: Solve for x
    x = 503,479,129.86/21,764.40
  6. Step 6: Final answer
    x = 23,133.15

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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.