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Finding the Fourth Proportional to 15,179.86, 22,784.01 and 9,347.86

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Solution

The fourth proportional to 15,179.86, 22,784.01 and 9,347.86 is: 14,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,179.86 : 22,784.01 = 9,347.86 : x
  2. Step 2: Convert to fraction form
    15,179.86/22,784.01 = 9,347.86/x
  3. Step 3: Cross multiply
    15,179.86x = 22,784.01 × 9,347.86
  4. Step 4: Simplify right side
    15,179.86x = 212,981,735.72
  5. Step 5: Solve for x
    x = 212,981,735.72/15,179.86
  6. Step 6: Final answer
    x = 14,030.55

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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.