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Finding the Fourth Proportional to 14,483, 21,725.42 and 4,095.56

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Solution

The fourth proportional to 14,483, 21,725.42 and 4,095.56 is: 6,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,483 : 21,725.42 = 4,095.56 : x
  2. Step 2: Convert to fraction form
    14,483/21,725.42 = 4,095.56/x
  3. Step 3: Cross multiply
    14,483x = 21,725.42 × 4,095.56
  4. Step 4: Simplify right side
    14,483x = 88,977,761.14
  5. Step 5: Solve for x
    x = 88,977,761.14/14,483
  6. Step 6: Final answer
    x = 6,143.60

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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.