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Finding the Fourth Proportional to 16,980.58, 23,384.76 and 12,257.38

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Solution

The fourth proportional to 16,980.58, 23,384.76 and 12,257.38 is: 16,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,980.58 : 23,384.76 = 12,257.38 : x
  2. Step 2: Convert to fraction form
    16,980.58/23,384.76 = 12,257.38/x
  3. Step 3: Cross multiply
    16,980.58x = 23,384.76 × 12,257.38
  4. Step 4: Simplify right side
    16,980.58x = 286,635,889.53
  5. Step 5: Solve for x
    x = 286,635,889.53/16,980.58
  6. Step 6: Final answer
    x = 16,880.22

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Why These Related Problems?

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