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Finding the Fourth Proportional to 14,181.48, 19,552.74 and 9,137

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Solution

The fourth proportional to 14,181.48, 19,552.74 and 9,137 is: 12,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.48 : 19,552.74 = 9,137 : x
  2. Step 2: Convert to fraction form
    14,181.48/19,552.74 = 9,137/x
  3. Step 3: Cross multiply
    14,181.48x = 19,552.74 × 9,137
  4. Step 4: Simplify right side
    14,181.48x = 178,653,385.38
  5. Step 5: Solve for x
    x = 178,653,385.38/14,181.48
  6. Step 6: Final answer
    x = 12,597.65

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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.