Home / 15,752.24-23,643-7,966.64

Finding the Fourth Proportional to 15,752.24, 23,643 and 7,966.64

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Solution

The fourth proportional to 15,752.24, 23,643 and 7,966.64 is: 11,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.24 : 23,643 = 7,966.64 : x
  2. Step 2: Convert to fraction form
    15,752.24/23,643 = 7,966.64/x
  3. Step 3: Cross multiply
    15,752.24x = 23,643 × 7,966.64
  4. Step 4: Simplify right side
    15,752.24x = 188,355,269.52
  5. Step 5: Solve for x
    x = 188,355,269.52/15,752.24
  6. Step 6: Final answer
    x = 11,957.36

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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.