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Finding the Fourth Proportional to 17,667.78, 24,381.52 and 9,710.52

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Solution

The fourth proportional to 17,667.78, 24,381.52 and 9,710.52 is: 13,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.78 : 24,381.52 = 9,710.52 : x
  2. Step 2: Convert to fraction form
    17,667.78/24,381.52 = 9,710.52/x
  3. Step 3: Cross multiply
    17,667.78x = 24,381.52 × 9,710.52
  4. Step 4: Simplify right side
    17,667.78x = 236,757,237.59
  5. Step 5: Solve for x
    x = 236,757,237.59/17,667.78
  6. Step 6: Final answer
    x = 13,400.51

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