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Finding the Fourth Proportional to 26,031.25, 39,047.96 and 7,563.25

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Solution

The fourth proportional to 26,031.25, 39,047.96 and 7,563.25 is: 11,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,031.25 : 39,047.96 = 7,563.25 : x
  2. Step 2: Convert to fraction form
    26,031.25/39,047.96 = 7,563.25/x
  3. Step 3: Cross multiply
    26,031.25x = 39,047.96 × 7,563.25
  4. Step 4: Simplify right side
    26,031.25x = 295,329,483.47
  5. Step 5: Solve for x
    x = 295,329,483.47/26,031.25
  6. Step 6: Final answer
    x = 11,345.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.