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Finding the Fourth Proportional to 14,181.50, 21,235.09 and 9,998.87

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Solution

The fourth proportional to 14,181.50, 21,235.09 and 9,998.87 is: 14,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.50 : 21,235.09 = 9,998.87 : x
  2. Step 2: Convert to fraction form
    14,181.50/21,235.09 = 9,998.87/x
  3. Step 3: Cross multiply
    14,181.50x = 21,235.09 × 9,998.87
  4. Step 4: Simplify right side
    14,181.50x = 212,326,904.35
  5. Step 5: Solve for x
    x = 212,326,904.35/14,181.50
  6. Step 6: Final answer
    x = 14,972.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.