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Finding the Fourth Proportional to 26,409, 39,564.06 and 13,245.96

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Solution

The fourth proportional to 26,409, 39,564.06 and 13,245.96 is: 19,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,409 : 39,564.06 = 13,245.96 : x
  2. Step 2: Convert to fraction form
    26,409/39,564.06 = 13,245.96/x
  3. Step 3: Cross multiply
    26,409x = 39,564.06 × 13,245.96
  4. Step 4: Simplify right side
    26,409x = 524,063,956.20
  5. Step 5: Solve for x
    x = 524,063,956.20/26,409
  6. Step 6: Final answer
    x = 19,844.14

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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.