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Finding the Fourth Proportional to 18,602.32, 27,904.24 and 4,751.68

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Solution

The fourth proportional to 18,602.32, 27,904.24 and 4,751.68 is: 7,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,602.32 : 27,904.24 = 4,751.68 : x
  2. Step 2: Convert to fraction form
    18,602.32/27,904.24 = 4,751.68/x
  3. Step 3: Cross multiply
    18,602.32x = 27,904.24 × 4,751.68
  4. Step 4: Simplify right side
    18,602.32x = 132,592,019.12
  5. Step 5: Solve for x
    x = 132,592,019.12/18,602.32
  6. Step 6: Final answer
    x = 7,127.71

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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.