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Finding the Fourth Proportional to 23,620.38, 32,596.04 and 13,010

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Solution

The fourth proportional to 23,620.38, 32,596.04 and 13,010 is: 17,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,620.38 : 32,596.04 = 13,010 : x
  2. Step 2: Convert to fraction form
    23,620.38/32,596.04 = 13,010/x
  3. Step 3: Cross multiply
    23,620.38x = 32,596.04 × 13,010
  4. Step 4: Simplify right side
    23,620.38x = 424,074,480.40
  5. Step 5: Solve for x
    x = 424,074,480.40/23,620.38
  6. Step 6: Final answer
    x = 17,953.75

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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.