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Finding the Fourth Proportional to 29,193.40, 40,279.57 and 16,444

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Solution

The fourth proportional to 29,193.40, 40,279.57 and 16,444 is: 22,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,193.40 : 40,279.57 = 16,444 : x
  2. Step 2: Convert to fraction form
    29,193.40/40,279.57 = 16,444/x
  3. Step 3: Cross multiply
    29,193.40x = 40,279.57 × 16,444
  4. Step 4: Simplify right side
    29,193.40x = 662,357,249.08
  5. Step 5: Solve for x
    x = 662,357,249.08/29,193.40
  6. Step 6: Final answer
    x = 22,688.60

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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.