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Finding the Fourth Proportional to 16,719.68, 25,085.90 and 7,839.86

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Solution

The fourth proportional to 16,719.68, 25,085.90 and 7,839.86 is: 11,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,719.68 : 25,085.90 = 7,839.86 : x
  2. Step 2: Convert to fraction form
    16,719.68/25,085.90 = 7,839.86/x
  3. Step 3: Cross multiply
    16,719.68x = 25,085.90 × 7,839.86
  4. Step 4: Simplify right side
    16,719.68x = 196,669,838.14
  5. Step 5: Solve for x
    x = 196,669,838.14/16,719.68
  6. Step 6: Final answer
    x = 11,762.77

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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.