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Finding the Fourth Proportional to 16,685.64, 23,026.23 and 9,233.64

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Solution

The fourth proportional to 16,685.64, 23,026.23 and 9,233.64 is: 12,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,685.64 : 23,026.23 = 9,233.64 : x
  2. Step 2: Convert to fraction form
    16,685.64/23,026.23 = 9,233.64/x
  3. Step 3: Cross multiply
    16,685.64x = 23,026.23 × 9,233.64
  4. Step 4: Simplify right side
    16,685.64x = 212,615,918.38
  5. Step 5: Solve for x
    x = 212,615,918.38/16,685.64
  6. Step 6: Final answer
    x = 12,742.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.