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Finding the Fourth Proportional to 23,551.94, 35,320.36 and 7,753.30

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Solution

The fourth proportional to 23,551.94, 35,320.36 and 7,753.30 is: 11,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,551.94 : 35,320.36 = 7,753.30 : x
  2. Step 2: Convert to fraction form
    23,551.94/35,320.36 = 7,753.30/x
  3. Step 3: Cross multiply
    23,551.94x = 35,320.36 × 7,753.30
  4. Step 4: Simplify right side
    23,551.94x = 273,849,239.50
  5. Step 5: Solve for x
    x = 273,849,239.50/23,551.94
  6. Step 6: Final answer
    x = 11,627.46

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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.