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Finding the Fourth Proportional to 16,954.04, 23,394.24 and 9,875

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Solution

The fourth proportional to 16,954.04, 23,394.24 and 9,875 is: 13,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,954.04 : 23,394.24 = 9,875 : x
  2. Step 2: Convert to fraction form
    16,954.04/23,394.24 = 9,875/x
  3. Step 3: Cross multiply
    16,954.04x = 23,394.24 × 9,875
  4. Step 4: Simplify right side
    16,954.04x = 231,018,120.00
  5. Step 5: Solve for x
    x = 231,018,120.00/16,954.04
  6. Step 6: Final answer
    x = 13,626.14

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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.