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Finding the Fourth Proportional to 14,146.60, 19,514.02 and 9,668.20

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Solution

The fourth proportional to 14,146.60, 19,514.02 and 9,668.20 is: 13,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.60 : 19,514.02 = 9,668.20 : x
  2. Step 2: Convert to fraction form
    14,146.60/19,514.02 = 9,668.20/x
  3. Step 3: Cross multiply
    14,146.60x = 19,514.02 × 9,668.20
  4. Step 4: Simplify right side
    14,146.60x = 188,665,448.16
  5. Step 5: Solve for x
    x = 188,665,448.16/14,146.60
  6. Step 6: Final answer
    x = 13,336.45

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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.