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Finding the Fourth Proportional to 14,134, 19,506.08 and 7,846.80

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Solution

The fourth proportional to 14,134, 19,506.08 and 7,846.80 is: 10,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134 : 19,506.08 = 7,846.80 : x
  2. Step 2: Convert to fraction form
    14,134/19,506.08 = 7,846.80/x
  3. Step 3: Cross multiply
    14,134x = 19,506.08 × 7,846.80
  4. Step 4: Simplify right side
    14,134x = 153,060,308.54
  5. Step 5: Solve for x
    x = 153,060,308.54/14,134
  6. Step 6: Final answer
    x = 10,829.23

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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.