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Finding the Fourth Proportional to 22,470.50, 33,701.58 and 7,477.86

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Solution

The fourth proportional to 22,470.50, 33,701.58 and 7,477.86 is: 11,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.50 : 33,701.58 = 7,477.86 : x
  2. Step 2: Convert to fraction form
    22,470.50/33,701.58 = 7,477.86/x
  3. Step 3: Cross multiply
    22,470.50x = 33,701.58 × 7,477.86
  4. Step 4: Simplify right side
    22,470.50x = 252,015,697.02
  5. Step 5: Solve for x
    x = 252,015,697.02/22,470.50
  6. Step 6: Final answer
    x = 11,215.40

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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.