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Finding the Fourth Proportional to 12,303.75, 16,981.94 and 8,052.34

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Solution

The fourth proportional to 12,303.75, 16,981.94 and 8,052.34 is: 11,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.75 : 16,981.94 = 8,052.34 : x
  2. Step 2: Convert to fraction form
    12,303.75/16,981.94 = 8,052.34/x
  3. Step 3: Cross multiply
    12,303.75x = 16,981.94 × 8,052.34
  4. Step 4: Simplify right side
    12,303.75x = 136,744,314.48
  5. Step 5: Solve for x
    x = 136,744,314.48/12,303.75
  6. Step 6: Final answer
    x = 11,114.04

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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.