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Finding the Fourth Proportional to 21,660.16, 32,480.52 and 9,967

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Solution

The fourth proportional to 21,660.16, 32,480.52 and 9,967 is: 14,946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,660.16 : 32,480.52 = 9,967 : x
  2. Step 2: Convert to fraction form
    21,660.16/32,480.52 = 9,967/x
  3. Step 3: Cross multiply
    21,660.16x = 32,480.52 × 9,967
  4. Step 4: Simplify right side
    21,660.16x = 323,733,342.84
  5. Step 5: Solve for x
    x = 323,733,342.84/21,660.16
  6. Step 6: Final answer
    x = 14,946.03

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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.