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Finding the Fourth Proportional to 13,506.23, 20,257.52 and 4,740

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Solution

The fourth proportional to 13,506.23, 20,257.52 and 4,740 is: 7,109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.23 : 20,257.52 = 4,740 : x
  2. Step 2: Convert to fraction form
    13,506.23/20,257.52 = 4,740/x
  3. Step 3: Cross multiply
    13,506.23x = 20,257.52 × 4,740
  4. Step 4: Simplify right side
    13,506.23x = 96,020,621.10
  5. Step 5: Solve for x
    x = 96,020,621.10/13,506.23
  6. Step 6: Final answer
    x = 7,109.36

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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.