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Finding the Fourth Proportional to 17,543.36, 24,215.62 and 13,964.90

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Solution

The fourth proportional to 17,543.36, 24,215.62 and 13,964.90 is: 19,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,543.36 : 24,215.62 = 13,964.90 : x
  2. Step 2: Convert to fraction form
    17,543.36/24,215.62 = 13,964.90/x
  3. Step 3: Cross multiply
    17,543.36x = 24,215.62 × 13,964.90
  4. Step 4: Simplify right side
    17,543.36x = 338,168,711.74
  5. Step 5: Solve for x
    x = 338,168,711.74/17,543.36
  6. Step 6: Final answer
    x = 19,276.17

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