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Finding the Fourth Proportional to 17,056.17, 23,537.16 and 9,502.49

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Solution

The fourth proportional to 17,056.17, 23,537.16 and 9,502.49 is: 13,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,056.17 : 23,537.16 = 9,502.49 : x
  2. Step 2: Convert to fraction form
    17,056.17/23,537.16 = 9,502.49/x
  3. Step 3: Cross multiply
    17,056.17x = 23,537.16 × 9,502.49
  4. Step 4: Simplify right side
    17,056.17x = 223,661,627.53
  5. Step 5: Solve for x
    x = 223,661,627.53/17,056.17
  6. Step 6: Final answer
    x = 13,113.24

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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.