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Finding the Fourth Proportional to 15,126.95, 22,695.05 and 7,736.60

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Solution

The fourth proportional to 15,126.95, 22,695.05 and 7,736.60 is: 11,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,126.95 : 22,695.05 = 7,736.60 : x
  2. Step 2: Convert to fraction form
    15,126.95/22,695.05 = 7,736.60/x
  3. Step 3: Cross multiply
    15,126.95x = 22,695.05 × 7,736.60
  4. Step 4: Simplify right side
    15,126.95x = 175,582,523.83
  5. Step 5: Solve for x
    x = 175,582,523.83/15,126.95
  6. Step 6: Final answer
    x = 11,607.27

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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.