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Finding the Fourth Proportional to 15,094.36, 22,646.94 and 6,773.50

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Solution

The fourth proportional to 15,094.36, 22,646.94 and 6,773.50 is: 10,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,094.36 : 22,646.94 = 6,773.50 : x
  2. Step 2: Convert to fraction form
    15,094.36/22,646.94 = 6,773.50/x
  3. Step 3: Cross multiply
    15,094.36x = 22,646.94 × 6,773.50
  4. Step 4: Simplify right side
    15,094.36x = 153,399,048.09
  5. Step 5: Solve for x
    x = 153,399,048.09/15,094.36
  6. Step 6: Final answer
    x = 10,162.67

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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.