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Finding the Fourth Proportional to 13,411.56, 18,506.40 and 7,442.64

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Solution

The fourth proportional to 13,411.56, 18,506.40 and 7,442.64 is: 10,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.56 : 18,506.40 = 7,442.64 : x
  2. Step 2: Convert to fraction form
    13,411.56/18,506.40 = 7,442.64/x
  3. Step 3: Cross multiply
    13,411.56x = 18,506.40 × 7,442.64
  4. Step 4: Simplify right side
    13,411.56x = 137,736,472.90
  5. Step 5: Solve for x
    x = 137,736,472.90/13,411.56
  6. Step 6: Final answer
    x = 10,269.98

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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.