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Finding the Fourth Proportional to 19,752.50, 29,625.10 and 5,709.04

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Solution

The fourth proportional to 19,752.50, 29,625.10 and 5,709.04 is: 8,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752.50 : 29,625.10 = 5,709.04 : x
  2. Step 2: Convert to fraction form
    19,752.50/29,625.10 = 5,709.04/x
  3. Step 3: Cross multiply
    19,752.50x = 29,625.10 × 5,709.04
  4. Step 4: Simplify right side
    19,752.50x = 169,130,880.90
  5. Step 5: Solve for x
    x = 169,130,880.90/19,752.50
  6. Step 6: Final answer
    x = 8,562.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.