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Finding the Fourth Proportional to 16,767.64, 23,143.52 and 9,693.04

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Solution

The fourth proportional to 16,767.64, 23,143.52 and 9,693.04 is: 13,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.64 : 23,143.52 = 9,693.04 : x
  2. Step 2: Convert to fraction form
    16,767.64/23,143.52 = 9,693.04/x
  3. Step 3: Cross multiply
    16,767.64x = 23,143.52 × 9,693.04
  4. Step 4: Simplify right side
    16,767.64x = 224,331,065.10
  5. Step 5: Solve for x
    x = 224,331,065.10/16,767.64
  6. Step 6: Final answer
    x = 13,378.81

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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.