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Finding the Fourth Proportional to 23,307.84, 34,961.28 and 5,777.46

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Solution

The fourth proportional to 23,307.84, 34,961.28 and 5,777.46 is: 8,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,307.84 : 34,961.28 = 5,777.46 : x
  2. Step 2: Convert to fraction form
    23,307.84/34,961.28 = 5,777.46/x
  3. Step 3: Cross multiply
    23,307.84x = 34,961.28 × 5,777.46
  4. Step 4: Simplify right side
    23,307.84x = 201,987,396.75
  5. Step 5: Solve for x
    x = 201,987,396.75/23,307.84
  6. Step 6: Final answer
    x = 8,666.07

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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.