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Finding the Fourth Proportional to 14,014.02, 19,338.47 and 8,041.49

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Solution

The fourth proportional to 14,014.02, 19,338.47 and 8,041.49 is: 11,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.02 : 19,338.47 = 8,041.49 : x
  2. Step 2: Convert to fraction form
    14,014.02/19,338.47 = 8,041.49/x
  3. Step 3: Cross multiply
    14,014.02x = 19,338.47 × 8,041.49
  4. Step 4: Simplify right side
    14,014.02x = 155,509,976.22
  5. Step 5: Solve for x
    x = 155,509,976.22/14,014.02
  6. Step 6: Final answer
    x = 11,096.74

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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.