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Finding the Fourth Proportional to 16,409.87, 22,670.34 and 10,758.05

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Solution

The fourth proportional to 16,409.87, 22,670.34 and 10,758.05 is: 14,862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.87 : 22,670.34 = 10,758.05 : x
  2. Step 2: Convert to fraction form
    16,409.87/22,670.34 = 10,758.05/x
  3. Step 3: Cross multiply
    16,409.87x = 22,670.34 × 10,758.05
  4. Step 4: Simplify right side
    16,409.87x = 243,888,651.24
  5. Step 5: Solve for x
    x = 243,888,651.24/16,409.87
  6. Step 6: Final answer
    x = 14,862.31

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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.