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Finding the Fourth Proportional to 21,986.49, 32,859.04 and 16,075.82

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Solution

The fourth proportional to 21,986.49, 32,859.04 and 16,075.82 is: 24,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986.49 : 32,859.04 = 16,075.82 : x
  2. Step 2: Convert to fraction form
    21,986.49/32,859.04 = 16,075.82/x
  3. Step 3: Cross multiply
    21,986.49x = 32,859.04 × 16,075.82
  4. Step 4: Simplify right side
    21,986.49x = 528,236,012.41
  5. Step 5: Solve for x
    x = 528,236,012.41/21,986.49
  6. Step 6: Final answer
    x = 24,025.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.