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Finding the Fourth Proportional to 12,288.66, 16,957.71 and 7,746.07

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Solution

The fourth proportional to 12,288.66, 16,957.71 and 7,746.07 is: 10,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.66 : 16,957.71 = 7,746.07 : x
  2. Step 2: Convert to fraction form
    12,288.66/16,957.71 = 7,746.07/x
  3. Step 3: Cross multiply
    12,288.66x = 16,957.71 × 7,746.07
  4. Step 4: Simplify right side
    12,288.66x = 131,355,608.70
  5. Step 5: Solve for x
    x = 131,355,608.70/12,288.66
  6. Step 6: Final answer
    x = 10,689.17

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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.