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Finding the Fourth Proportional to 16,813.64, 23,201.16 and 9,742.40

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Solution

The fourth proportional to 16,813.64, 23,201.16 and 9,742.40 is: 13,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.64 : 23,201.16 = 9,742.40 : x
  2. Step 2: Convert to fraction form
    16,813.64/23,201.16 = 9,742.40/x
  3. Step 3: Cross multiply
    16,813.64x = 23,201.16 × 9,742.40
  4. Step 4: Simplify right side
    16,813.64x = 226,034,981.18
  5. Step 5: Solve for x
    x = 226,034,981.18/16,813.64
  6. Step 6: Final answer
    x = 13,443.55

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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.