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Finding the Fourth Proportional to 12,125.64, 16,729.77 and 7,347.36

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Solution

The fourth proportional to 12,125.64, 16,729.77 and 7,347.36 is: 10,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.64 : 16,729.77 = 7,347.36 : x
  2. Step 2: Convert to fraction form
    12,125.64/16,729.77 = 7,347.36/x
  3. Step 3: Cross multiply
    12,125.64x = 16,729.77 × 7,347.36
  4. Step 4: Simplify right side
    12,125.64x = 122,919,642.91
  5. Step 5: Solve for x
    x = 122,919,642.91/12,125.64
  6. Step 6: Final answer
    x = 10,137.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.