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Finding the Fourth Proportional to 14,245.10, 19,657.37 and 7,871.54

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Solution

The fourth proportional to 14,245.10, 19,657.37 and 7,871.54 is: 10,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,245.10 : 19,657.37 = 7,871.54 : x
  2. Step 2: Convert to fraction form
    14,245.10/19,657.37 = 7,871.54/x
  3. Step 3: Cross multiply
    14,245.10x = 19,657.37 × 7,871.54
  4. Step 4: Simplify right side
    14,245.10x = 154,733,734.89
  5. Step 5: Solve for x
    x = 154,733,734.89/14,245.10
  6. Step 6: Final answer
    x = 10,862.25

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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.