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Finding the Fourth Proportional to 21,659.16, 32,479.02 and 9,966

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Solution

The fourth proportional to 21,659.16, 32,479.02 and 9,966 is: 14,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,659.16 : 32,479.02 = 9,966 : x
  2. Step 2: Convert to fraction form
    21,659.16/32,479.02 = 9,966/x
  3. Step 3: Cross multiply
    21,659.16x = 32,479.02 × 9,966
  4. Step 4: Simplify right side
    21,659.16x = 323,685,913.32
  5. Step 5: Solve for x
    x = 323,685,913.32/21,659.16
  6. Step 6: Final answer
    x = 14,944.53

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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.