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Finding the Fourth Proportional to 13,410.58, 18,506.93 and 7,442.50

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Solution

The fourth proportional to 13,410.58, 18,506.93 and 7,442.50 is: 10,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.58 : 18,506.93 = 7,442.50 : x
  2. Step 2: Convert to fraction form
    13,410.58/18,506.93 = 7,442.50/x
  3. Step 3: Cross multiply
    13,410.58x = 18,506.93 × 7,442.50
  4. Step 4: Simplify right side
    13,410.58x = 137,737,826.53
  5. Step 5: Solve for x
    x = 137,737,826.53/13,410.58
  6. Step 6: Final answer
    x = 10,270.83

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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.