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Finding the Fourth Proportional to 13,194.18, 19,702.49 and 13,048.38

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Solution

The fourth proportional to 13,194.18, 19,702.49 and 13,048.38 is: 19,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.18 : 19,702.49 = 13,048.38 : x
  2. Step 2: Convert to fraction form
    13,194.18/19,702.49 = 13,048.38/x
  3. Step 3: Cross multiply
    13,194.18x = 19,702.49 × 13,048.38
  4. Step 4: Simplify right side
    13,194.18x = 257,085,511.22
  5. Step 5: Solve for x
    x = 257,085,511.22/13,194.18
  6. Step 6: Final answer
    x = 19,484.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.