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Finding the Fourth Proportional to 19,550.40, 29,325.48 and 9,687

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Solution

The fourth proportional to 19,550.40, 29,325.48 and 9,687 is: 14,530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,550.40 : 29,325.48 = 9,687 : x
  2. Step 2: Convert to fraction form
    19,550.40/29,325.48 = 9,687/x
  3. Step 3: Cross multiply
    19,550.40x = 29,325.48 × 9,687
  4. Step 4: Simplify right side
    19,550.40x = 284,075,924.76
  5. Step 5: Solve for x
    x = 284,075,924.76/19,550.40
  6. Step 6: Final answer
    x = 14,530.44

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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.