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Finding the Fourth Proportional to 14,164.16, 19,544.40 and 8,194.64

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Solution

The fourth proportional to 14,164.16, 19,544.40 and 8,194.64 is: 11,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.16 : 19,544.40 = 8,194.64 : x
  2. Step 2: Convert to fraction form
    14,164.16/19,544.40 = 8,194.64/x
  3. Step 3: Cross multiply
    14,164.16x = 19,544.40 × 8,194.64
  4. Step 4: Simplify right side
    14,164.16x = 160,159,322.02
  5. Step 5: Solve for x
    x = 160,159,322.02/14,164.16
  6. Step 6: Final answer
    x = 11,307.36

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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.