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Finding the Fourth Proportional to 16,968.96, 23,417.15 and 9,894.02

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Solution

The fourth proportional to 16,968.96, 23,417.15 and 9,894.02 is: 13,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,968.96 : 23,417.15 = 9,894.02 : x
  2. Step 2: Convert to fraction form
    16,968.96/23,417.15 = 9,894.02/x
  3. Step 3: Cross multiply
    16,968.96x = 23,417.15 × 9,894.02
  4. Step 4: Simplify right side
    16,968.96x = 231,689,583.89
  5. Step 5: Solve for x
    x = 231,689,583.89/16,968.96
  6. Step 6: Final answer
    x = 13,653.73

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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.