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Finding the Fourth Proportional to 13,030.24, 19,546.24 and 5,239.06

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Solution

The fourth proportional to 13,030.24, 19,546.24 and 5,239.06 is: 7,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.24 : 19,546.24 = 5,239.06 : x
  2. Step 2: Convert to fraction form
    13,030.24/19,546.24 = 5,239.06/x
  3. Step 3: Cross multiply
    13,030.24x = 19,546.24 × 5,239.06
  4. Step 4: Simplify right side
    13,030.24x = 102,403,924.13
  5. Step 5: Solve for x
    x = 102,403,924.13/13,030.24
  6. Step 6: Final answer
    x = 7,858.94

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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.