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Finding the Fourth Proportional to 12,188.52, 16,821.29 and 7,407.36

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Solution

The fourth proportional to 12,188.52, 16,821.29 and 7,407.36 is: 10,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.52 : 16,821.29 = 7,407.36 : x
  2. Step 2: Convert to fraction form
    12,188.52/16,821.29 = 7,407.36/x
  3. Step 3: Cross multiply
    12,188.52x = 16,821.29 × 7,407.36
  4. Step 4: Simplify right side
    12,188.52x = 124,601,313.66
  5. Step 5: Solve for x
    x = 124,601,313.66/12,188.52
  6. Step 6: Final answer
    x = 10,222.84

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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.