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Finding the Fourth Proportional to 17,690.96, 24,413 and 9,733.18

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Solution

The fourth proportional to 17,690.96, 24,413 and 9,733.18 is: 13,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,690.96 : 24,413 = 9,733.18 : x
  2. Step 2: Convert to fraction form
    17,690.96/24,413 = 9,733.18/x
  3. Step 3: Cross multiply
    17,690.96x = 24,413 × 9,733.18
  4. Step 4: Simplify right side
    17,690.96x = 237,616,123.34
  5. Step 5: Solve for x
    x = 237,616,123.34/17,690.96
  6. Step 6: Final answer
    x = 13,431.50

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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.