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Finding the Fourth Proportional to 16,727.56, 23,074.41 and 10,429

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Solution

The fourth proportional to 16,727.56, 23,074.41 and 10,429 is: 14,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,727.56 : 23,074.41 = 10,429 : x
  2. Step 2: Convert to fraction form
    16,727.56/23,074.41 = 10,429/x
  3. Step 3: Cross multiply
    16,727.56x = 23,074.41 × 10,429
  4. Step 4: Simplify right side
    16,727.56x = 240,643,021.89
  5. Step 5: Solve for x
    x = 240,643,021.89/16,727.56
  6. Step 6: Final answer
    x = 14,386.02

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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.