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Finding the Fourth Proportional to 21,404.70, 32,106.54 and 11,563.20

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Solution

The fourth proportional to 21,404.70, 32,106.54 and 11,563.20 is: 17,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404.70 : 32,106.54 = 11,563.20 : x
  2. Step 2: Convert to fraction form
    21,404.70/32,106.54 = 11,563.20/x
  3. Step 3: Cross multiply
    21,404.70x = 32,106.54 × 11,563.20
  4. Step 4: Simplify right side
    21,404.70x = 371,254,343.33
  5. Step 5: Solve for x
    x = 371,254,343.33/21,404.70
  6. Step 6: Final answer
    x = 17,344.52

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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.