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Finding the Fourth Proportional to 14,104.89, 19,465.38 and 7,816.86

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Solution

The fourth proportional to 14,104.89, 19,465.38 and 7,816.86 is: 10,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.89 : 19,465.38 = 7,816.86 : x
  2. Step 2: Convert to fraction form
    14,104.89/19,465.38 = 7,816.86/x
  3. Step 3: Cross multiply
    14,104.89x = 19,465.38 × 7,816.86
  4. Step 4: Simplify right side
    14,104.89x = 152,158,150.31
  5. Step 5: Solve for x
    x = 152,158,150.31/14,104.89
  6. Step 6: Final answer
    x = 10,787.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.