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Finding the Fourth Proportional to 18,124.15, 27,182.01 and 4,977.58

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Solution

The fourth proportional to 18,124.15, 27,182.01 and 4,977.58 is: 7,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,124.15 : 27,182.01 = 4,977.58 : x
  2. Step 2: Convert to fraction form
    18,124.15/27,182.01 = 4,977.58/x
  3. Step 3: Cross multiply
    18,124.15x = 27,182.01 × 4,977.58
  4. Step 4: Simplify right side
    18,124.15x = 135,300,629.34
  5. Step 5: Solve for x
    x = 135,300,629.34/18,124.15
  6. Step 6: Final answer
    x = 7,465.21

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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.