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Finding the Fourth Proportional to 14,156.24, 19,529.86 and 8,491.24

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Solution

The fourth proportional to 14,156.24, 19,529.86 and 8,491.24 is: 11,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.24 : 19,529.86 = 8,491.24 : x
  2. Step 2: Convert to fraction form
    14,156.24/19,529.86 = 8,491.24/x
  3. Step 3: Cross multiply
    14,156.24x = 19,529.86 × 8,491.24
  4. Step 4: Simplify right side
    14,156.24x = 165,832,728.43
  5. Step 5: Solve for x
    x = 165,832,728.43/14,156.24
  6. Step 6: Final answer
    x = 11,714.46

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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.