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Finding the Fourth Proportional to 12,434.38, 17,146.29 and 9,602.22

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Solution

The fourth proportional to 12,434.38, 17,146.29 and 9,602.22 is: 13,240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.38 : 17,146.29 = 9,602.22 : x
  2. Step 2: Convert to fraction form
    12,434.38/17,146.29 = 9,602.22/x
  3. Step 3: Cross multiply
    12,434.38x = 17,146.29 × 9,602.22
  4. Step 4: Simplify right side
    12,434.38x = 164,642,420.47
  5. Step 5: Solve for x
    x = 164,642,420.47/12,434.38
  6. Step 6: Final answer
    x = 13,240.90

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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.