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Finding the Fourth Proportional to 14,122.16, 19,491.12 and 8,153

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Solution

The fourth proportional to 14,122.16, 19,491.12 and 8,153 is: 11,252.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.16 : 19,491.12 = 8,153 : x
  2. Step 2: Convert to fraction form
    14,122.16/19,491.12 = 8,153/x
  3. Step 3: Cross multiply
    14,122.16x = 19,491.12 × 8,153
  4. Step 4: Simplify right side
    14,122.16x = 158,911,101.36
  5. Step 5: Solve for x
    x = 158,911,101.36/14,122.16
  6. Step 6: Final answer
    x = 11,252.61

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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.