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Finding the Fourth Proportional to 19,969.46, 29,958.03 and 7,656.50

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Solution

The fourth proportional to 19,969.46, 29,958.03 and 7,656.50 is: 11,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969.46 : 29,958.03 = 7,656.50 : x
  2. Step 2: Convert to fraction form
    19,969.46/29,958.03 = 7,656.50/x
  3. Step 3: Cross multiply
    19,969.46x = 29,958.03 × 7,656.50
  4. Step 4: Simplify right side
    19,969.46x = 229,373,656.70
  5. Step 5: Solve for x
    x = 229,373,656.70/19,969.46
  6. Step 6: Final answer
    x = 11,486.22

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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.