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Finding the Fourth Proportional to 16,442.65, 22,842.94 and 16,288.93

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Solution

The fourth proportional to 16,442.65, 22,842.94 and 16,288.93 is: 22,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.65 : 22,842.94 = 16,288.93 : x
  2. Step 2: Convert to fraction form
    16,442.65/22,842.94 = 16,288.93/x
  3. Step 3: Cross multiply
    16,442.65x = 22,842.94 × 16,288.93
  4. Step 4: Simplify right side
    16,442.65x = 372,087,050.65
  5. Step 5: Solve for x
    x = 372,087,050.65/16,442.65
  6. Step 6: Final answer
    x = 22,629.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.