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Finding the Fourth Proportional to 12,015.95, 16,580.80 and 8,242.34

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Solution

The fourth proportional to 12,015.95, 16,580.80 and 8,242.34 is: 11,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.95 : 16,580.80 = 8,242.34 : x
  2. Step 2: Convert to fraction form
    12,015.95/16,580.80 = 8,242.34/x
  3. Step 3: Cross multiply
    12,015.95x = 16,580.80 × 8,242.34
  4. Step 4: Simplify right side
    12,015.95x = 136,664,591.07
  5. Step 5: Solve for x
    x = 136,664,591.07/12,015.95
  6. Step 6: Final answer
    x = 11,373.60

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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.