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Finding the Fourth Proportional to 14,110.88, 19,470.40 and 9,140

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Solution

The fourth proportional to 14,110.88, 19,470.40 and 9,140 is: 12,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.88 : 19,470.40 = 9,140 : x
  2. Step 2: Convert to fraction form
    14,110.88/19,470.40 = 9,140/x
  3. Step 3: Cross multiply
    14,110.88x = 19,470.40 × 9,140
  4. Step 4: Simplify right side
    14,110.88x = 177,959,456
  5. Step 5: Solve for x
    x = 177,959,456/14,110.88
  6. Step 6: Final answer
    x = 12,611.51

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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.