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Finding the Fourth Proportional to 29,727.52, 41,024.44 and 16,300

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Solution

The fourth proportional to 29,727.52, 41,024.44 and 16,300 is: 22,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,727.52 : 41,024.44 = 16,300 : x
  2. Step 2: Convert to fraction form
    29,727.52/41,024.44 = 16,300/x
  3. Step 3: Cross multiply
    29,727.52x = 41,024.44 × 16,300
  4. Step 4: Simplify right side
    29,727.52x = 668,698,372
  5. Step 5: Solve for x
    x = 668,698,372/29,727.52
  6. Step 6: Final answer
    x = 22,494.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.