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Finding the Fourth Proportional to 21,533.88, 32,307.30 and 10,446.60

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Solution

The fourth proportional to 21,533.88, 32,307.30 and 10,446.60 is: 15,673.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.88 : 32,307.30 = 10,446.60 : x
  2. Step 2: Convert to fraction form
    21,533.88/32,307.30 = 10,446.60/x
  3. Step 3: Cross multiply
    21,533.88x = 32,307.30 × 10,446.60
  4. Step 4: Simplify right side
    21,533.88x = 337,501,440.18
  5. Step 5: Solve for x
    x = 337,501,440.18/21,533.88
  6. Step 6: Final answer
    x = 15,673.04

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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.