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Finding the Fourth Proportional to 23,223.69, 32,048.13 and 12,613.08

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Solution

The fourth proportional to 23,223.69, 32,048.13 and 12,613.08 is: 17,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.69 : 32,048.13 = 12,613.08 : x
  2. Step 2: Convert to fraction form
    23,223.69/32,048.13 = 12,613.08/x
  3. Step 3: Cross multiply
    23,223.69x = 32,048.13 × 12,613.08
  4. Step 4: Simplify right side
    23,223.69x = 404,225,627.54
  5. Step 5: Solve for x
    x = 404,225,627.54/23,223.69
  6. Step 6: Final answer
    x = 17,405.75

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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.