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Finding the Fourth Proportional to 24,417, 33,695.64 and 13,239

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Solution

The fourth proportional to 24,417, 33,695.64 and 13,239 is: 18,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417 : 33,695.64 = 13,239 : x
  2. Step 2: Convert to fraction form
    24,417/33,695.64 = 13,239/x
  3. Step 3: Cross multiply
    24,417x = 33,695.64 × 13,239
  4. Step 4: Simplify right side
    24,417x = 446,096,577.96
  5. Step 5: Solve for x
    x = 446,096,577.96/24,417
  6. Step 6: Final answer
    x = 18,269.92

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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.