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Finding the Fourth Proportional to 15,768.95, 23,662.60 and 6,890.03

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Solution

The fourth proportional to 15,768.95, 23,662.60 and 6,890.03 is: 10,339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.95 : 23,662.60 = 6,890.03 : x
  2. Step 2: Convert to fraction form
    15,768.95/23,662.60 = 6,890.03/x
  3. Step 3: Cross multiply
    15,768.95x = 23,662.60 × 6,890.03
  4. Step 4: Simplify right side
    15,768.95x = 163,035,977.07
  5. Step 5: Solve for x
    x = 163,035,977.07/15,768.95
  6. Step 6: Final answer
    x = 10,339.05

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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.