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Finding the Fourth Proportional to 24,319, 33,560.22 and 13,141

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Solution

The fourth proportional to 24,319, 33,560.22 and 13,141 is: 18,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,319 : 33,560.22 = 13,141 : x
  2. Step 2: Convert to fraction form
    24,319/33,560.22 = 13,141/x
  3. Step 3: Cross multiply
    24,319x = 33,560.22 × 13,141
  4. Step 4: Simplify right side
    24,319x = 441,014,851.02
  5. Step 5: Solve for x
    x = 441,014,851.02/24,319
  6. Step 6: Final answer
    x = 18,134.58

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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.