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Finding the Fourth Proportional to 19,853.66, 29,716.50 and 10,955

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Solution

The fourth proportional to 19,853.66, 29,716.50 and 10,955 is: 16,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.66 : 29,716.50 = 10,955 : x
  2. Step 2: Convert to fraction form
    19,853.66/29,716.50 = 10,955/x
  3. Step 3: Cross multiply
    19,853.66x = 29,716.50 × 10,955
  4. Step 4: Simplify right side
    19,853.66x = 325,544,257.50
  5. Step 5: Solve for x
    x = 325,544,257.50/19,853.66
  6. Step 6: Final answer
    x = 16,397.19

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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.