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Finding the Fourth Proportional to 22,586.96, 33,884.94 and 7,004

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Solution

The fourth proportional to 22,586.96, 33,884.94 and 7,004 is: 10,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.96 : 33,884.94 = 7,004 : x
  2. Step 2: Convert to fraction form
    22,586.96/33,884.94 = 7,004/x
  3. Step 3: Cross multiply
    22,586.96x = 33,884.94 × 7,004
  4. Step 4: Simplify right side
    22,586.96x = 237,330,119.76
  5. Step 5: Solve for x
    x = 237,330,119.76/22,586.96
  6. Step 6: Final answer
    x = 10,507.40

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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.