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Finding the Fourth Proportional to 16,045.53, 22,143.51 and 9,914.58

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Solution

The fourth proportional to 16,045.53, 22,143.51 and 9,914.58 is: 13,682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.53 : 22,143.51 = 9,914.58 : x
  2. Step 2: Convert to fraction form
    16,045.53/22,143.51 = 9,914.58/x
  3. Step 3: Cross multiply
    16,045.53x = 22,143.51 × 9,914.58
  4. Step 4: Simplify right side
    16,045.53x = 219,543,601.38
  5. Step 5: Solve for x
    x = 219,543,601.38/16,045.53
  6. Step 6: Final answer
    x = 13,682.54

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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.