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Finding the Fourth Proportional to 12,684.06, 19,037.63 and 6,765.96

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Solution

The fourth proportional to 12,684.06, 19,037.63 and 6,765.96 is: 10,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.06 : 19,037.63 = 6,765.96 : x
  2. Step 2: Convert to fraction form
    12,684.06/19,037.63 = 6,765.96/x
  3. Step 3: Cross multiply
    12,684.06x = 19,037.63 × 6,765.96
  4. Step 4: Simplify right side
    12,684.06x = 128,807,931.38
  5. Step 5: Solve for x
    x = 128,807,931.38/12,684.06
  6. Step 6: Final answer
    x = 10,155.10

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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.