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Finding the Fourth Proportional to 19,752.98, 29,625.08 and 5,709.94

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Solution

The fourth proportional to 19,752.98, 29,625.08 and 5,709.94 is: 8,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752.98 : 29,625.08 = 5,709.94 : x
  2. Step 2: Convert to fraction form
    19,752.98/29,625.08 = 5,709.94/x
  3. Step 3: Cross multiply
    19,752.98x = 29,625.08 × 5,709.94
  4. Step 4: Simplify right side
    19,752.98x = 169,157,429.30
  5. Step 5: Solve for x
    x = 169,157,429.30/19,752.98
  6. Step 6: Final answer
    x = 8,563.64

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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.