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Finding the Fourth Proportional to 14,362.80, 19,820.40 and 8,074.56

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Solution

The fourth proportional to 14,362.80, 19,820.40 and 8,074.56 is: 11,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.80 : 19,820.40 = 8,074.56 : x
  2. Step 2: Convert to fraction form
    14,362.80/19,820.40 = 8,074.56/x
  3. Step 3: Cross multiply
    14,362.80x = 19,820.40 × 8,074.56
  4. Step 4: Simplify right side
    14,362.80x = 160,041,009.02
  5. Step 5: Solve for x
    x = 160,041,009.02/14,362.80
  6. Step 6: Final answer
    x = 11,142.74

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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.