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Finding the Fourth Proportional to 15,023.68, 22,537.05 and 5,161.68

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Solution

The fourth proportional to 15,023.68, 22,537.05 and 5,161.68 is: 7,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.68 : 22,537.05 = 5,161.68 : x
  2. Step 2: Convert to fraction form
    15,023.68/22,537.05 = 5,161.68/x
  3. Step 3: Cross multiply
    15,023.68x = 22,537.05 × 5,161.68
  4. Step 4: Simplify right side
    15,023.68x = 116,329,040.24
  5. Step 5: Solve for x
    x = 116,329,040.24/15,023.68
  6. Step 6: Final answer
    x = 7,743.05

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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.