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Finding the Fourth Proportional to 17,102.42, 23,603.37 and 10,389.14

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Solution

The fourth proportional to 17,102.42, 23,603.37 and 10,389.14 is: 14,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.42 : 23,603.37 = 10,389.14 : x
  2. Step 2: Convert to fraction form
    17,102.42/23,603.37 = 10,389.14/x
  3. Step 3: Cross multiply
    17,102.42x = 23,603.37 × 10,389.14
  4. Step 4: Simplify right side
    17,102.42x = 245,218,715.40
  5. Step 5: Solve for x
    x = 245,218,715.40/17,102.42
  6. Step 6: Final answer
    x = 14,338.25

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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.