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Finding the Fourth Proportional to 23,689.65, 35,534.31 and 9,646.38

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Solution

The fourth proportional to 23,689.65, 35,534.31 and 9,646.38 is: 14,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.65 : 35,534.31 = 9,646.38 : x
  2. Step 2: Convert to fraction form
    23,689.65/35,534.31 = 9,646.38/x
  3. Step 3: Cross multiply
    23,689.65x = 35,534.31 × 9,646.38
  4. Step 4: Simplify right side
    23,689.65x = 342,777,384.72
  5. Step 5: Solve for x
    x = 342,777,384.72/23,689.65
  6. Step 6: Final answer
    x = 14,469.50

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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.