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Finding the Fourth Proportional to 14,196.52, 19,586.49 and 9,164.09

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Solution

The fourth proportional to 14,196.52, 19,586.49 and 9,164.09 is: 12,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.52 : 19,586.49 = 9,164.09 : x
  2. Step 2: Convert to fraction form
    14,196.52/19,586.49 = 9,164.09/x
  3. Step 3: Cross multiply
    14,196.52x = 19,586.49 × 9,164.09
  4. Step 4: Simplify right side
    14,196.52x = 179,492,313.12
  5. Step 5: Solve for x
    x = 179,492,313.12/14,196.52
  6. Step 6: Final answer
    x = 12,643.41

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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.