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Finding the Fourth Proportional to 13,027.80, 19,530.10 and 4,706

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Solution

The fourth proportional to 13,027.80, 19,530.10 and 4,706 is: 7,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.80 : 19,530.10 = 4,706 : x
  2. Step 2: Convert to fraction form
    13,027.80/19,530.10 = 4,706/x
  3. Step 3: Cross multiply
    13,027.80x = 19,530.10 × 4,706
  4. Step 4: Simplify right side
    13,027.80x = 91,908,650.60
  5. Step 5: Solve for x
    x = 91,908,650.60/13,027.80
  6. Step 6: Final answer
    x = 7,054.81

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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.