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Finding the Fourth Proportional to 14,156.20, 19,536.65 and 8,491.17

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Solution

The fourth proportional to 14,156.20, 19,536.65 and 8,491.17 is: 11,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.20 : 19,536.65 = 8,491.17 : x
  2. Step 2: Convert to fraction form
    14,156.20/19,536.65 = 8,491.17/x
  3. Step 3: Cross multiply
    14,156.20x = 19,536.65 × 8,491.17
  4. Step 4: Simplify right side
    14,156.20x = 165,889,016.38
  5. Step 5: Solve for x
    x = 165,889,016.38/14,156.20
  6. Step 6: Final answer
    x = 11,718.47

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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.