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Finding the Fourth Proportional to 13,049.42, 19,574.11 and 4,729.41

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Solution

The fourth proportional to 13,049.42, 19,574.11 and 4,729.41 is: 7,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.42 : 19,574.11 = 4,729.41 : x
  2. Step 2: Convert to fraction form
    13,049.42/19,574.11 = 4,729.41/x
  3. Step 3: Cross multiply
    13,049.42x = 19,574.11 × 4,729.41
  4. Step 4: Simplify right side
    13,049.42x = 92,574,025.94
  5. Step 5: Solve for x
    x = 92,574,025.94/13,049.42
  6. Step 6: Final answer
    x = 7,094.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.