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Finding the Fourth Proportional to 15,051.76, 22,591.50 and 7,661.50

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Solution

The fourth proportional to 15,051.76, 22,591.50 and 7,661.50 is: 11,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,051.76 : 22,591.50 = 7,661.50 : x
  2. Step 2: Convert to fraction form
    15,051.76/22,591.50 = 7,661.50/x
  3. Step 3: Cross multiply
    15,051.76x = 22,591.50 × 7,661.50
  4. Step 4: Simplify right side
    15,051.76x = 173,084,777.25
  5. Step 5: Solve for x
    x = 173,084,777.25/15,051.76
  6. Step 6: Final answer
    x = 11,499.30

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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.