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Finding the Fourth Proportional to 17,039.16, 23,513.76 and 9,486

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Solution

The fourth proportional to 17,039.16, 23,513.76 and 9,486 is: 13,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,039.16 : 23,513.76 = 9,486 : x
  2. Step 2: Convert to fraction form
    17,039.16/23,513.76 = 9,486/x
  3. Step 3: Cross multiply
    17,039.16x = 23,513.76 × 9,486
  4. Step 4: Simplify right side
    17,039.16x = 223,051,527.36
  5. Step 5: Solve for x
    x = 223,051,527.36/17,039.16
  6. Step 6: Final answer
    x = 13,090.52

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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.