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Finding the Fourth Proportional to 14,259.26, 19,668.51 and 9,146.68

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Solution

The fourth proportional to 14,259.26, 19,668.51 and 9,146.68 is: 12,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.26 : 19,668.51 = 9,146.68 : x
  2. Step 2: Convert to fraction form
    14,259.26/19,668.51 = 9,146.68/x
  3. Step 3: Cross multiply
    14,259.26x = 19,668.51 × 9,146.68
  4. Step 4: Simplify right side
    14,259.26x = 179,901,581.92
  5. Step 5: Solve for x
    x = 179,901,581.92/14,259.26
  6. Step 6: Final answer
    x = 12,616.48

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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.