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Finding the Fourth Proportional to 21,624.69, 32,449.34 and 14,232.63

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Solution

The fourth proportional to 21,624.69, 32,449.34 and 14,232.63 is: 21,357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,624.69 : 32,449.34 = 14,232.63 : x
  2. Step 2: Convert to fraction form
    21,624.69/32,449.34 = 14,232.63/x
  3. Step 3: Cross multiply
    21,624.69x = 32,449.34 × 14,232.63
  4. Step 4: Simplify right side
    21,624.69x = 461,839,424.70
  5. Step 5: Solve for x
    x = 461,839,424.70/21,624.69
  6. Step 6: Final answer
    x = 21,357.04

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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.