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Finding the Fourth Proportional to 17,645.22, 26,460.80 and 7,777.50

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Solution

The fourth proportional to 17,645.22, 26,460.80 and 7,777.50 is: 11,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,645.22 : 26,460.80 = 7,777.50 : x
  2. Step 2: Convert to fraction form
    17,645.22/26,460.80 = 7,777.50/x
  3. Step 3: Cross multiply
    17,645.22x = 26,460.80 × 7,777.50
  4. Step 4: Simplify right side
    17,645.22x = 205,798,833.11
  5. Step 5: Solve for x
    x = 205,798,833.11/17,645.22
  6. Step 6: Final answer
    x = 11,663.15

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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.