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Finding the Fourth Proportional to 13,930.52, 19,224.54 and 7,643.32

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Solution

The fourth proportional to 13,930.52, 19,224.54 and 7,643.32 is: 10,548.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.52 : 19,224.54 = 7,643.32 : x
  2. Step 2: Convert to fraction form
    13,930.52/19,224.54 = 7,643.32/x
  3. Step 3: Cross multiply
    13,930.52x = 19,224.54 × 7,643.32
  4. Step 4: Simplify right side
    13,930.52x = 146,939,311.07
  5. Step 5: Solve for x
    x = 146,939,311.07/13,930.52
  6. Step 6: Final answer
    x = 10,548.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.