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Finding the Fourth Proportional to 24,608, 33,959.07 and 13,430

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Solution

The fourth proportional to 24,608, 33,959.07 and 13,430 is: 18,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608 : 33,959.07 = 13,430 : x
  2. Step 2: Convert to fraction form
    24,608/33,959.07 = 13,430/x
  3. Step 3: Cross multiply
    24,608x = 33,959.07 × 13,430
  4. Step 4: Simplify right side
    24,608x = 456,070,310.10
  5. Step 5: Solve for x
    x = 456,070,310.10/24,608
  6. Step 6: Final answer
    x = 18,533.42

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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.