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Finding the Fourth Proportional to 21,967.30, 32,868.63 and 13,049.98

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Solution

The fourth proportional to 21,967.30, 32,868.63 and 13,049.98 is: 19,526.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.30 : 32,868.63 = 13,049.98 : x
  2. Step 2: Convert to fraction form
    21,967.30/32,868.63 = 13,049.98/x
  3. Step 3: Cross multiply
    21,967.30x = 32,868.63 × 13,049.98
  4. Step 4: Simplify right side
    21,967.30x = 428,934,964.13
  5. Step 5: Solve for x
    x = 428,934,964.13/21,967.30
  6. Step 6: Final answer
    x = 19,526.07

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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.