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Finding the Fourth Proportional to 13,245.24, 19,870.74 and 4,011

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Solution

The fourth proportional to 13,245.24, 19,870.74 and 4,011 is: 6,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,245.24 : 19,870.74 = 4,011 : x
  2. Step 2: Convert to fraction form
    13,245.24/19,870.74 = 4,011/x
  3. Step 3: Cross multiply
    13,245.24x = 19,870.74 × 4,011
  4. Step 4: Simplify right side
    13,245.24x = 79,701,538.14
  5. Step 5: Solve for x
    x = 79,701,538.14/13,245.24
  6. Step 6: Final answer
    x = 6,017.37

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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.