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Finding the Fourth Proportional to 19,639.68, 29,464.38 and 9,249

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Solution

The fourth proportional to 19,639.68, 29,464.38 and 9,249 is: 13,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,639.68 : 29,464.38 = 9,249 : x
  2. Step 2: Convert to fraction form
    19,639.68/29,464.38 = 9,249/x
  3. Step 3: Cross multiply
    19,639.68x = 29,464.38 × 9,249
  4. Step 4: Simplify right side
    19,639.68x = 272,516,050.62
  5. Step 5: Solve for x
    x = 272,516,050.62/19,639.68
  6. Step 6: Final answer
    x = 13,875.79

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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.