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Finding the Fourth Proportional to 23,414.69, 32,313.05 and 12,804.32

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Solution

The fourth proportional to 23,414.69, 32,313.05 and 12,804.32 is: 17,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.69 : 32,313.05 = 12,804.32 : x
  2. Step 2: Convert to fraction form
    23,414.69/32,313.05 = 12,804.32/x
  3. Step 3: Cross multiply
    23,414.69x = 32,313.05 × 12,804.32
  4. Step 4: Simplify right side
    23,414.69x = 413,746,632.38
  5. Step 5: Solve for x
    x = 413,746,632.38/23,414.69
  6. Step 6: Final answer
    x = 17,670.39

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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.