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Finding the Fourth Proportional to 14,054.34, 19,393.02 and 8,083.74

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Solution

The fourth proportional to 14,054.34, 19,393.02 and 8,083.74 is: 11,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054.34 : 19,393.02 = 8,083.74 : x
  2. Step 2: Convert to fraction form
    14,054.34/19,393.02 = 8,083.74/x
  3. Step 3: Cross multiply
    14,054.34x = 19,393.02 × 8,083.74
  4. Step 4: Simplify right side
    14,054.34x = 156,768,131.49
  5. Step 5: Solve for x
    x = 156,768,131.49/14,054.34
  6. Step 6: Final answer
    x = 11,154.43

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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.