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Finding the Fourth Proportional to 15,130.18, 22,716.53 and 7,739.94

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Solution

The fourth proportional to 15,130.18, 22,716.53 and 7,739.94 is: 11,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.18 : 22,716.53 = 7,739.94 : x
  2. Step 2: Convert to fraction form
    15,130.18/22,716.53 = 7,739.94/x
  3. Step 3: Cross multiply
    15,130.18x = 22,716.53 × 7,739.94
  4. Step 4: Simplify right side
    15,130.18x = 175,824,579.21
  5. Step 5: Solve for x
    x = 175,824,579.21/15,130.18
  6. Step 6: Final answer
    x = 11,620.79

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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.