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Finding the Fourth Proportional to 21,384.74, 32,075.05 and 6,589.69

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Solution

The fourth proportional to 21,384.74, 32,075.05 and 6,589.69 is: 9,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.74 : 32,075.05 = 6,589.69 : x
  2. Step 2: Convert to fraction form
    21,384.74/32,075.05 = 6,589.69/x
  3. Step 3: Cross multiply
    21,384.74x = 32,075.05 × 6,589.69
  4. Step 4: Simplify right side
    21,384.74x = 211,364,459.39
  5. Step 5: Solve for x
    x = 211,364,459.39/21,384.74
  6. Step 6: Final answer
    x = 9,883.89

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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.