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Finding the Fourth Proportional to 13,038.24, 19,554 and 4,273.44

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Solution

The fourth proportional to 13,038.24, 19,554 and 4,273.44 is: 6,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.24 : 19,554 = 4,273.44 : x
  2. Step 2: Convert to fraction form
    13,038.24/19,554 = 4,273.44/x
  3. Step 3: Cross multiply
    13,038.24x = 19,554 × 4,273.44
  4. Step 4: Simplify right side
    13,038.24x = 83,562,845.76
  5. Step 5: Solve for x
    x = 83,562,845.76/13,038.24
  6. Step 6: Final answer
    x = 6,409.06

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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.