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Finding the Fourth Proportional to 15,860.56, 23,747.04 and 11,953.12

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Solution

The fourth proportional to 15,860.56, 23,747.04 and 11,953.12 is: 17,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,860.56 : 23,747.04 = 11,953.12 : x
  2. Step 2: Convert to fraction form
    15,860.56/23,747.04 = 11,953.12/x
  3. Step 3: Cross multiply
    15,860.56x = 23,747.04 × 11,953.12
  4. Step 4: Simplify right side
    15,860.56x = 283,851,218.76
  5. Step 5: Solve for x
    x = 283,851,218.76/15,860.56
  6. Step 6: Final answer
    x = 17,896.67

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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.