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Finding the Fourth Proportional to 17,668.08, 24,408 and 13,916.16

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Solution

The fourth proportional to 17,668.08, 24,408 and 13,916.16 is: 19,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.08 : 24,408 = 13,916.16 : x
  2. Step 2: Convert to fraction form
    17,668.08/24,408 = 13,916.16/x
  3. Step 3: Cross multiply
    17,668.08x = 24,408 × 13,916.16
  4. Step 4: Simplify right side
    17,668.08x = 339,665,633.28
  5. Step 5: Solve for x
    x = 339,665,633.28/17,668.08
  6. Step 6: Final answer
    x = 19,224.82

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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.