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Finding the Fourth Proportional to 21,448.84, 32,162.28 and 8,965.46

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Solution

The fourth proportional to 21,448.84, 32,162.28 and 8,965.46 is: 13,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,448.84 : 32,162.28 = 8,965.46 : x
  2. Step 2: Convert to fraction form
    21,448.84/32,162.28 = 8,965.46/x
  3. Step 3: Cross multiply
    21,448.84x = 32,162.28 × 8,965.46
  4. Step 4: Simplify right side
    21,448.84x = 288,349,474.04
  5. Step 5: Solve for x
    x = 288,349,474.04/21,448.84
  6. Step 6: Final answer
    x = 13,443.60

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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.