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Finding the Fourth Proportional to 12,094.94, 18,137.81 and 4,698.50

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Solution

The fourth proportional to 12,094.94, 18,137.81 and 4,698.50 is: 7,045.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.94 : 18,137.81 = 4,698.50 : x
  2. Step 2: Convert to fraction form
    12,094.94/18,137.81 = 4,698.50/x
  3. Step 3: Cross multiply
    12,094.94x = 18,137.81 × 4,698.50
  4. Step 4: Simplify right side
    12,094.94x = 85,220,386.10
  5. Step 5: Solve for x
    x = 85,220,386.10/12,094.94
  6. Step 6: Final answer
    x = 7,045.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.