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Finding the Fourth Proportional to 12,995.02, 19,496.04 and 6,413.50

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Solution

The fourth proportional to 12,995.02, 19,496.04 and 6,413.50 is: 9,621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,995.02 : 19,496.04 = 6,413.50 : x
  2. Step 2: Convert to fraction form
    12,995.02/19,496.04 = 6,413.50/x
  3. Step 3: Cross multiply
    12,995.02x = 19,496.04 × 6,413.50
  4. Step 4: Simplify right side
    12,995.02x = 125,037,852.54
  5. Step 5: Solve for x
    x = 125,037,852.54/12,995.02
  6. Step 6: Final answer
    x = 9,621.98

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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.