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Finding the Fourth Proportional to 19,851.66, 29,713.50 and 10,953

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Solution

The fourth proportional to 19,851.66, 29,713.50 and 10,953 is: 16,394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.66 : 29,713.50 = 10,953 : x
  2. Step 2: Convert to fraction form
    19,851.66/29,713.50 = 10,953/x
  3. Step 3: Cross multiply
    19,851.66x = 29,713.50 × 10,953
  4. Step 4: Simplify right side
    19,851.66x = 325,451,965.50
  5. Step 5: Solve for x
    x = 325,451,965.50/19,851.66
  6. Step 6: Final answer
    x = 16,394.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.