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Finding the Fourth Proportional to 13,411.42, 18,507.41 and 7,442.94

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Solution

The fourth proportional to 13,411.42, 18,507.41 and 7,442.94 is: 10,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.42 : 18,507.41 = 7,442.94 : x
  2. Step 2: Convert to fraction form
    13,411.42/18,507.41 = 7,442.94/x
  3. Step 3: Cross multiply
    13,411.42x = 18,507.41 × 7,442.94
  4. Step 4: Simplify right side
    13,411.42x = 137,749,519.11
  5. Step 5: Solve for x
    x = 137,749,519.11/13,411.42
  6. Step 6: Final answer
    x = 10,271.06

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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.