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Finding the Fourth Proportional to 12,549.34, 18,811.77 and 5,973.76

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Solution

The fourth proportional to 12,549.34, 18,811.77 and 5,973.76 is: 8,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.34 : 18,811.77 = 5,973.76 : x
  2. Step 2: Convert to fraction form
    12,549.34/18,811.77 = 5,973.76/x
  3. Step 3: Cross multiply
    12,549.34x = 18,811.77 × 5,973.76
  4. Step 4: Simplify right side
    12,549.34x = 112,376,999.16
  5. Step 5: Solve for x
    x = 112,376,999.16/12,549.34
  6. Step 6: Final answer
    x = 8,954.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.