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Finding the Fourth Proportional to 23,313, 32,171.94 and 13,377

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Solution

The fourth proportional to 23,313, 32,171.94 and 13,377 is: 18,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,313 : 32,171.94 = 13,377 : x
  2. Step 2: Convert to fraction form
    23,313/32,171.94 = 13,377/x
  3. Step 3: Cross multiply
    23,313x = 32,171.94 × 13,377
  4. Step 4: Simplify right side
    23,313x = 430,364,041.38
  5. Step 5: Solve for x
    x = 430,364,041.38/23,313
  6. Step 6: Final answer
    x = 18,460.26

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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.