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Finding the Fourth Proportional to 23,775.57, 35,658.19 and 7,131.14

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Solution

The fourth proportional to 23,775.57, 35,658.19 and 7,131.14 is: 10,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.57 : 35,658.19 = 7,131.14 : x
  2. Step 2: Convert to fraction form
    23,775.57/35,658.19 = 7,131.14/x
  3. Step 3: Cross multiply
    23,775.57x = 35,658.19 × 7,131.14
  4. Step 4: Simplify right side
    23,775.57x = 254,283,509.38
  5. Step 5: Solve for x
    x = 254,283,509.38/23,775.57
  6. Step 6: Final answer
    x = 10,695.16

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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.