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Finding the Fourth Proportional to 23,329.48, 32,194.68 and 12,719.12

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Solution

The fourth proportional to 23,329.48, 32,194.68 and 12,719.12 is: 17,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,329.48 : 32,194.68 = 12,719.12 : x
  2. Step 2: Convert to fraction form
    23,329.48/32,194.68 = 12,719.12/x
  3. Step 3: Cross multiply
    23,329.48x = 32,194.68 × 12,719.12
  4. Step 4: Simplify right side
    23,329.48x = 409,487,998.28
  5. Step 5: Solve for x
    x = 409,487,998.28/23,329.48
  6. Step 6: Final answer
    x = 17,552.38

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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.