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Finding the Fourth Proportional to 14,184.54, 19,573.31 and 7,811.06

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Solution

The fourth proportional to 14,184.54, 19,573.31 and 7,811.06 is: 10,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.54 : 19,573.31 = 7,811.06 : x
  2. Step 2: Convert to fraction form
    14,184.54/19,573.31 = 7,811.06/x
  3. Step 3: Cross multiply
    14,184.54x = 19,573.31 × 7,811.06
  4. Step 4: Simplify right side
    14,184.54x = 152,888,161.89
  5. Step 5: Solve for x
    x = 152,888,161.89/14,184.54
  6. Step 6: Final answer
    x = 10,778.51

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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.