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Finding the Fourth Proportional to 12,698.88, 19,077.60 and 12,174

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Solution

The fourth proportional to 12,698.88, 19,077.60 and 12,174 is: 18,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.88 : 19,077.60 = 12,174 : x
  2. Step 2: Convert to fraction form
    12,698.88/19,077.60 = 12,174/x
  3. Step 3: Cross multiply
    12,698.88x = 19,077.60 × 12,174
  4. Step 4: Simplify right side
    12,698.88x = 232,250,702.40
  5. Step 5: Solve for x
    x = 232,250,702.40/12,698.88
  6. Step 6: Final answer
    x = 18,289.07

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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.