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Finding the Fourth Proportional to 12,688.64, 19,022.02 and 6,105.77

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Solution

The fourth proportional to 12,688.64, 19,022.02 and 6,105.77 is: 9,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.64 : 19,022.02 = 6,105.77 : x
  2. Step 2: Convert to fraction form
    12,688.64/19,022.02 = 6,105.77/x
  3. Step 3: Cross multiply
    12,688.64x = 19,022.02 × 6,105.77
  4. Step 4: Simplify right side
    12,688.64x = 116,144,079.06
  5. Step 5: Solve for x
    x = 116,144,079.06/12,688.64
  6. Step 6: Final answer
    x = 9,153.39

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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.