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Finding the Fourth Proportional to 16,693.71, 23,037.32 and 9,140.04

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Solution

The fourth proportional to 16,693.71, 23,037.32 and 9,140.04 is: 12,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,693.71 : 23,037.32 = 9,140.04 : x
  2. Step 2: Convert to fraction form
    16,693.71/23,037.32 = 9,140.04/x
  3. Step 3: Cross multiply
    16,693.71x = 23,037.32 × 9,140.04
  4. Step 4: Simplify right side
    16,693.71x = 210,562,023.44
  5. Step 5: Solve for x
    x = 210,562,023.44/16,693.71
  6. Step 6: Final answer
    x = 12,613.26

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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.