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Finding the Fourth Proportional to 17,088.42, 23,581.94 and 9,636.42

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Solution

The fourth proportional to 17,088.42, 23,581.94 and 9,636.42 is: 13,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,088.42 : 23,581.94 = 9,636.42 : x
  2. Step 2: Convert to fraction form
    17,088.42/23,581.94 = 9,636.42/x
  3. Step 3: Cross multiply
    17,088.42x = 23,581.94 × 9,636.42
  4. Step 4: Simplify right side
    17,088.42x = 227,245,430.07
  5. Step 5: Solve for x
    x = 227,245,430.07/17,088.42
  6. Step 6: Final answer
    x = 13,298.21

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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.