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Finding the Fourth Proportional to 14,196.68, 19,601.28 and 9,494.60

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Solution

The fourth proportional to 14,196.68, 19,601.28 and 9,494.60 is: 13,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.68 : 19,601.28 = 9,494.60 : x
  2. Step 2: Convert to fraction form
    14,196.68/19,601.28 = 9,494.60/x
  3. Step 3: Cross multiply
    14,196.68x = 19,601.28 × 9,494.60
  4. Step 4: Simplify right side
    14,196.68x = 186,106,313.09
  5. Step 5: Solve for x
    x = 186,106,313.09/14,196.68
  6. Step 6: Final answer
    x = 13,109.14

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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.