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Finding the Fourth Proportional to 14,489.34, 19,994.22 and 8,200.50

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Solution

The fourth proportional to 14,489.34, 19,994.22 and 8,200.50 is: 11,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.34 : 19,994.22 = 8,200.50 : x
  2. Step 2: Convert to fraction form
    14,489.34/19,994.22 = 8,200.50/x
  3. Step 3: Cross multiply
    14,489.34x = 19,994.22 × 8,200.50
  4. Step 4: Simplify right side
    14,489.34x = 163,962,601.11
  5. Step 5: Solve for x
    x = 163,962,601.11/14,489.34
  6. Step 6: Final answer
    x = 11,316.08

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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.