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Finding the Fourth Proportional to 15,530.97, 23,286.93 and 7,623.45

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Solution

The fourth proportional to 15,530.97, 23,286.93 and 7,623.45 is: 11,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.97 : 23,286.93 = 7,623.45 : x
  2. Step 2: Convert to fraction form
    15,530.97/23,286.93 = 7,623.45/x
  3. Step 3: Cross multiply
    15,530.97x = 23,286.93 × 7,623.45
  4. Step 4: Simplify right side
    15,530.97x = 177,526,717.92
  5. Step 5: Solve for x
    x = 177,526,717.92/15,530.97
  6. Step 6: Final answer
    x = 11,430.50

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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.