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Finding the Fourth Proportional to 15,786.95, 23,684.13 and 4,693.73

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Solution

The fourth proportional to 15,786.95, 23,684.13 and 4,693.73 is: 7,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.95 : 23,684.13 = 4,693.73 : x
  2. Step 2: Convert to fraction form
    15,786.95/23,684.13 = 4,693.73/x
  3. Step 3: Cross multiply
    15,786.95x = 23,684.13 × 4,693.73
  4. Step 4: Simplify right side
    15,786.95x = 111,166,911.50
  5. Step 5: Solve for x
    x = 111,166,911.50/15,786.95
  6. Step 6: Final answer
    x = 7,041.70

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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.