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Finding the Fourth Proportional to 23,807.10, 35,715.36 and 7,166.31

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Solution

The fourth proportional to 23,807.10, 35,715.36 and 7,166.31 is: 10,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.10 : 35,715.36 = 7,166.31 : x
  2. Step 2: Convert to fraction form
    23,807.10/35,715.36 = 7,166.31/x
  3. Step 3: Cross multiply
    23,807.10x = 35,715.36 × 7,166.31
  4. Step 4: Simplify right side
    23,807.10x = 255,947,341.52
  5. Step 5: Solve for x
    x = 255,947,341.52/23,807.10
  6. Step 6: Final answer
    x = 10,750.88

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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.