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Finding the Fourth Proportional to 14,985.74, 20,679.24 and 8,271.38

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Solution

The fourth proportional to 14,985.74, 20,679.24 and 8,271.38 is: 11,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,985.74 : 20,679.24 = 8,271.38 : x
  2. Step 2: Convert to fraction form
    14,985.74/20,679.24 = 8,271.38/x
  3. Step 3: Cross multiply
    14,985.74x = 20,679.24 × 8,271.38
  4. Step 4: Simplify right side
    14,985.74x = 171,045,852.15
  5. Step 5: Solve for x
    x = 171,045,852.15/14,985.74
  6. Step 6: Final answer
    x = 11,413.91

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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.