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Finding the Fourth Proportional to 13,530.34, 20,297.94 and 4,763.98

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Solution

The fourth proportional to 13,530.34, 20,297.94 and 4,763.98 is: 7,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.34 : 20,297.94 = 4,763.98 : x
  2. Step 2: Convert to fraction form
    13,530.34/20,297.94 = 4,763.98/x
  3. Step 3: Cross multiply
    13,530.34x = 20,297.94 × 4,763.98
  4. Step 4: Simplify right side
    13,530.34x = 96,698,980.20
  5. Step 5: Solve for x
    x = 96,698,980.20/13,530.34
  6. Step 6: Final answer
    x = 7,146.83

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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.