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Finding the Fourth Proportional to 14,092.50, 19,447.60 and 8,124.13

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Solution

The fourth proportional to 14,092.50, 19,447.60 and 8,124.13 is: 11,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.50 : 19,447.60 = 8,124.13 : x
  2. Step 2: Convert to fraction form
    14,092.50/19,447.60 = 8,124.13/x
  3. Step 3: Cross multiply
    14,092.50x = 19,447.60 × 8,124.13
  4. Step 4: Simplify right side
    14,092.50x = 157,994,830.59
  5. Step 5: Solve for x
    x = 157,994,830.59/14,092.50
  6. Step 6: Final answer
    x = 11,211.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.