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Finding the Fourth Proportional to 21,381.66, 32,075.46 and 6,591.74

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Solution

The fourth proportional to 21,381.66, 32,075.46 and 6,591.74 is: 9,888.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.66 : 32,075.46 = 6,591.74 : x
  2. Step 2: Convert to fraction form
    21,381.66/32,075.46 = 6,591.74/x
  3. Step 3: Cross multiply
    21,381.66x = 32,075.46 × 6,591.74
  4. Step 4: Simplify right side
    21,381.66x = 211,432,932.32
  5. Step 5: Solve for x
    x = 211,432,932.32/21,381.66
  6. Step 6: Final answer
    x = 9,888.52

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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.