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Finding the Fourth Proportional to 17,625.42, 24,323.78 and 9,667.93

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Solution

The fourth proportional to 17,625.42, 24,323.78 and 9,667.93 is: 13,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625.42 : 24,323.78 = 9,667.93 : x
  2. Step 2: Convert to fraction form
    17,625.42/24,323.78 = 9,667.93/x
  3. Step 3: Cross multiply
    17,625.42x = 24,323.78 × 9,667.93
  4. Step 4: Simplify right side
    17,625.42x = 235,160,602.38
  5. Step 5: Solve for x
    x = 235,160,602.38/17,625.42
  6. Step 6: Final answer
    x = 13,342.13

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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.