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Finding the Fourth Proportional to 23,707.72, 35,554.02 and 9,667.72

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Solution

The fourth proportional to 23,707.72, 35,554.02 and 9,667.72 is: 14,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.72 : 35,554.02 = 9,667.72 : x
  2. Step 2: Convert to fraction form
    23,707.72/35,554.02 = 9,667.72/x
  3. Step 3: Cross multiply
    23,707.72x = 35,554.02 × 9,667.72
  4. Step 4: Simplify right side
    23,707.72x = 343,726,310.23
  5. Step 5: Solve for x
    x = 343,726,310.23/23,707.72
  6. Step 6: Final answer
    x = 14,498.50

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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.