Home / 15,838.32-23,769-7,083.12

Finding the Fourth Proportional to 15,838.32, 23,769 and 7,083.12

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Solution

The fourth proportional to 15,838.32, 23,769 and 7,083.12 is: 10,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.32 : 23,769 = 7,083.12 : x
  2. Step 2: Convert to fraction form
    15,838.32/23,769 = 7,083.12/x
  3. Step 3: Cross multiply
    15,838.32x = 23,769 × 7,083.12
  4. Step 4: Simplify right side
    15,838.32x = 168,358,679.28
  5. Step 5: Solve for x
    x = 168,358,679.28/15,838.32
  6. Step 6: Final answer
    x = 10,629.83

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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.