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Finding the Fourth Proportional to 16,894.64, 23,316.31 and 9,341.54

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Solution

The fourth proportional to 16,894.64, 23,316.31 and 9,341.54 is: 12,892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.64 : 23,316.31 = 9,341.54 : x
  2. Step 2: Convert to fraction form
    16,894.64/23,316.31 = 9,341.54/x
  3. Step 3: Cross multiply
    16,894.64x = 23,316.31 × 9,341.54
  4. Step 4: Simplify right side
    16,894.64x = 217,810,303.66
  5. Step 5: Solve for x
    x = 217,810,303.66/16,894.64
  6. Step 6: Final answer
    x = 12,892.27

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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.