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Finding the Fourth Proportional to 21,463.67, 32,192.77 and 8,307.04

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Solution

The fourth proportional to 21,463.67, 32,192.77 and 8,307.04 is: 12,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463.67 : 32,192.77 = 8,307.04 : x
  2. Step 2: Convert to fraction form
    21,463.67/32,192.77 = 8,307.04/x
  3. Step 3: Cross multiply
    21,463.67x = 32,192.77 × 8,307.04
  4. Step 4: Simplify right side
    21,463.67x = 267,426,628.10
  5. Step 5: Solve for x
    x = 267,426,628.10/21,463.67
  6. Step 6: Final answer
    x = 12,459.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.