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Finding the Fourth Proportional to 14,186.17, 19,580.36 and 8,216.88

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Solution

The fourth proportional to 14,186.17, 19,580.36 and 8,216.88 is: 11,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.17 : 19,580.36 = 8,216.88 : x
  2. Step 2: Convert to fraction form
    14,186.17/19,580.36 = 8,216.88/x
  3. Step 3: Cross multiply
    14,186.17x = 19,580.36 × 8,216.88
  4. Step 4: Simplify right side
    14,186.17x = 160,889,468.48
  5. Step 5: Solve for x
    x = 160,889,468.48/14,186.17
  6. Step 6: Final answer
    x = 11,341.29

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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.