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Finding the Fourth Proportional to 15,957.30, 23,935.96 and 7,635.36

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Solution

The fourth proportional to 15,957.30, 23,935.96 and 7,635.36 is: 11,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957.30 : 23,935.96 = 7,635.36 : x
  2. Step 2: Convert to fraction form
    15,957.30/23,935.96 = 7,635.36/x
  3. Step 3: Cross multiply
    15,957.30x = 23,935.96 × 7,635.36
  4. Step 4: Simplify right side
    15,957.30x = 182,759,671.55
  5. Step 5: Solve for x
    x = 182,759,671.55/15,957.30
  6. Step 6: Final answer
    x = 11,453.04

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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.