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Finding the Fourth Proportional to 19,813.50, 29,699.30 and 7,325.51

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Solution

The fourth proportional to 19,813.50, 29,699.30 and 7,325.51 is: 10,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.50 : 29,699.30 = 7,325.51 : x
  2. Step 2: Convert to fraction form
    19,813.50/29,699.30 = 7,325.51/x
  3. Step 3: Cross multiply
    19,813.50x = 29,699.30 × 7,325.51
  4. Step 4: Simplify right side
    19,813.50x = 217,562,388.96
  5. Step 5: Solve for x
    x = 217,562,388.96/19,813.50
  6. Step 6: Final answer
    x = 10,980.51

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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.