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Finding the Fourth Proportional to 17,258.37, 23,814.81 and 9,702.89

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Solution

The fourth proportional to 17,258.37, 23,814.81 and 9,702.89 is: 13,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,258.37 : 23,814.81 = 9,702.89 : x
  2. Step 2: Convert to fraction form
    17,258.37/23,814.81 = 9,702.89/x
  3. Step 3: Cross multiply
    17,258.37x = 23,814.81 × 9,702.89
  4. Step 4: Simplify right side
    17,258.37x = 231,072,452.03
  5. Step 5: Solve for x
    x = 231,072,452.03/17,258.37
  6. Step 6: Final answer
    x = 13,389.01

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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.