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Finding the Fourth Proportional to 17,038, 25,535.36 and 7,667.98

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Solution

The fourth proportional to 17,038, 25,535.36 and 7,667.98 is: 11,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038 : 25,535.36 = 7,667.98 : x
  2. Step 2: Convert to fraction form
    17,038/25,535.36 = 7,667.98/x
  3. Step 3: Cross multiply
    17,038x = 25,535.36 × 7,667.98
  4. Step 4: Simplify right side
    17,038x = 195,804,629.77
  5. Step 5: Solve for x
    x = 195,804,629.77/17,038
  6. Step 6: Final answer
    x = 11,492.23

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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.