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Finding the Fourth Proportional to 13,872.66, 20,804.67 and 4,636.50

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Solution

The fourth proportional to 13,872.66, 20,804.67 and 4,636.50 is: 6,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.66 : 20,804.67 = 4,636.50 : x
  2. Step 2: Convert to fraction form
    13,872.66/20,804.67 = 4,636.50/x
  3. Step 3: Cross multiply
    13,872.66x = 20,804.67 × 4,636.50
  4. Step 4: Simplify right side
    13,872.66x = 96,460,852.46
  5. Step 5: Solve for x
    x = 96,460,852.46/13,872.66
  6. Step 6: Final answer
    x = 6,953.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.