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Finding the Fourth Proportional to 13,202.85, 19,804.50 and 4,437.84

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Solution

The fourth proportional to 13,202.85, 19,804.50 and 4,437.84 is: 6,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.85 : 19,804.50 = 4,437.84 : x
  2. Step 2: Convert to fraction form
    13,202.85/19,804.50 = 4,437.84/x
  3. Step 3: Cross multiply
    13,202.85x = 19,804.50 × 4,437.84
  4. Step 4: Simplify right side
    13,202.85x = 87,889,202.28
  5. Step 5: Solve for x
    x = 87,889,202.28/13,202.85
  6. Step 6: Final answer
    x = 6,656.84

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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.