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Finding the Fourth Proportional to 14,183.70, 19,569.56 and 9,148.13

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Solution

The fourth proportional to 14,183.70, 19,569.56 and 9,148.13 is: 12,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.70 : 19,569.56 = 9,148.13 : x
  2. Step 2: Convert to fraction form
    14,183.70/19,569.56 = 9,148.13/x
  3. Step 3: Cross multiply
    14,183.70x = 19,569.56 × 9,148.13
  4. Step 4: Simplify right side
    14,183.70x = 179,024,878.92
  5. Step 5: Solve for x
    x = 179,024,878.92/14,183.70
  6. Step 6: Final answer
    x = 12,621.87

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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.