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Finding the Fourth Proportional to 17,266, 23,815.08 and 10,457.82

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Solution

The fourth proportional to 17,266, 23,815.08 and 10,457.82 is: 14,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266 : 23,815.08 = 10,457.82 : x
  2. Step 2: Convert to fraction form
    17,266/23,815.08 = 10,457.82/x
  3. Step 3: Cross multiply
    17,266x = 23,815.08 × 10,457.82
  4. Step 4: Simplify right side
    17,266x = 249,053,819.93
  5. Step 5: Solve for x
    x = 249,053,819.93/17,266
  6. Step 6: Final answer
    x = 14,424.52

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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.