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Finding the Fourth Proportional to 12,434.88, 17,172.90 and 10,656.12

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Solution

The fourth proportional to 12,434.88, 17,172.90 and 10,656.12 is: 14,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.88 : 17,172.90 = 10,656.12 : x
  2. Step 2: Convert to fraction form
    12,434.88/17,172.90 = 10,656.12/x
  3. Step 3: Cross multiply
    12,434.88x = 17,172.90 × 10,656.12
  4. Step 4: Simplify right side
    12,434.88x = 182,996,483.15
  5. Step 5: Solve for x
    x = 182,996,483.15/12,434.88
  6. Step 6: Final answer
    x = 14,716.39

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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.