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Finding the Fourth Proportional to 10,069.22, 15,086 and 9,051.86

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Solution

The fourth proportional to 10,069.22, 15,086 and 9,051.86 is: 13,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.22 : 15,086 = 9,051.86 : x
  2. Step 2: Convert to fraction form
    10,069.22/15,086 = 9,051.86/x
  3. Step 3: Cross multiply
    10,069.22x = 15,086 × 9,051.86
  4. Step 4: Simplify right side
    10,069.22x = 136,556,359.96
  5. Step 5: Solve for x
    x = 136,556,359.96/10,069.22
  6. Step 6: Final answer
    x = 13,561.76

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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.