Home / 23,033-31,785.72-13,097

Finding the Fourth Proportional to 23,033, 31,785.72 and 13,097

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Solution

The fourth proportional to 23,033, 31,785.72 and 13,097 is: 18,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,033 : 31,785.72 = 13,097 : x
  2. Step 2: Convert to fraction form
    23,033/31,785.72 = 13,097/x
  3. Step 3: Cross multiply
    23,033x = 31,785.72 × 13,097
  4. Step 4: Simplify right side
    23,033x = 416,297,574.84
  5. Step 5: Solve for x
    x = 416,297,574.84/23,033
  6. Step 6: Final answer
    x = 18,073.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.