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Finding the Fourth Proportional to 23,849.22, 32,913 and 13,239

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Solution

The fourth proportional to 23,849.22, 32,913 and 13,239 is: 18,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,849.22 : 32,913 = 13,239 : x
  2. Step 2: Convert to fraction form
    23,849.22/32,913 = 13,239/x
  3. Step 3: Cross multiply
    23,849.22x = 32,913 × 13,239
  4. Step 4: Simplify right side
    23,849.22x = 435,735,207
  5. Step 5: Solve for x
    x = 435,735,207/23,849.22
  6. Step 6: Final answer
    x = 18,270.42

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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.