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Finding the Fourth Proportional to 21,458.84, 32,182.10 and 6,467.41

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Solution

The fourth proportional to 21,458.84, 32,182.10 and 6,467.41 is: 9,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.84 : 32,182.10 = 6,467.41 : x
  2. Step 2: Convert to fraction form
    21,458.84/32,182.10 = 6,467.41/x
  3. Step 3: Cross multiply
    21,458.84x = 32,182.10 × 6,467.41
  4. Step 4: Simplify right side
    21,458.84x = 208,134,704.67
  5. Step 5: Solve for x
    x = 208,134,704.67/21,458.84
  6. Step 6: Final answer
    x = 9,699.25

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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.