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Finding the Fourth Proportional to 13,411.25, 18,506.67 and 7,442.93

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Solution

The fourth proportional to 13,411.25, 18,506.67 and 7,442.93 is: 10,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.25 : 18,506.67 = 7,442.93 : x
  2. Step 2: Convert to fraction form
    13,411.25/18,506.67 = 7,442.93/x
  3. Step 3: Cross multiply
    13,411.25x = 18,506.67 × 7,442.93
  4. Step 4: Simplify right side
    13,411.25x = 137,743,728.90
  5. Step 5: Solve for x
    x = 137,743,728.90/13,411.25
  6. Step 6: Final answer
    x = 10,270.76

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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.