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Finding the Fourth Proportional to 21,497.94, 29,653.02 and 13,533.48

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Solution

The fourth proportional to 21,497.94, 29,653.02 and 13,533.48 is: 18,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.94 : 29,653.02 = 13,533.48 : x
  2. Step 2: Convert to fraction form
    21,497.94/29,653.02 = 13,533.48/x
  3. Step 3: Cross multiply
    21,497.94x = 29,653.02 × 13,533.48
  4. Step 4: Simplify right side
    21,497.94x = 401,308,553.11
  5. Step 5: Solve for x
    x = 401,308,553.11/21,497.94
  6. Step 6: Final answer
    x = 18,667.30

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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.