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Finding the Fourth Proportional to 13,843.02, 19,097.55 and 9,653.70

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Solution

The fourth proportional to 13,843.02, 19,097.55 and 9,653.70 is: 13,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.02 : 19,097.55 = 9,653.70 : x
  2. Step 2: Convert to fraction form
    13,843.02/19,097.55 = 9,653.70/x
  3. Step 3: Cross multiply
    13,843.02x = 19,097.55 × 9,653.70
  4. Step 4: Simplify right side
    13,843.02x = 184,362,018.44
  5. Step 5: Solve for x
    x = 184,362,018.44/13,843.02
  6. Step 6: Final answer
    x = 13,318.05

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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.