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Finding the Fourth Proportional to 21,407.20, 32,110.80 and 19,256.80

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Solution

The fourth proportional to 21,407.20, 32,110.80 and 19,256.80 is: 28,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.20 : 32,110.80 = 19,256.80 : x
  2. Step 2: Convert to fraction form
    21,407.20/32,110.80 = 19,256.80/x
  3. Step 3: Cross multiply
    21,407.20x = 32,110.80 × 19,256.80
  4. Step 4: Simplify right side
    21,407.20x = 618,351,253.44
  5. Step 5: Solve for x
    x = 618,351,253.44/21,407.20
  6. Step 6: Final answer
    x = 28,885.20

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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.