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Finding the Fourth Proportional to 21,656.98, 32,486.69 and 6,075.82

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Solution

The fourth proportional to 21,656.98, 32,486.69 and 6,075.82 is: 9,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,656.98 : 32,486.69 = 6,075.82 : x
  2. Step 2: Convert to fraction form
    21,656.98/32,486.69 = 6,075.82/x
  3. Step 3: Cross multiply
    21,656.98x = 32,486.69 × 6,075.82
  4. Step 4: Simplify right side
    21,656.98x = 197,383,250.46
  5. Step 5: Solve for x
    x = 197,383,250.46/21,656.98
  6. Step 6: Final answer
    x = 9,114.07

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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.