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Finding the Fourth Proportional to 16,857.64, 23,264.58 and 9,405.64

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Solution

The fourth proportional to 16,857.64, 23,264.58 and 9,405.64 is: 12,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.64 : 23,264.58 = 9,405.64 : x
  2. Step 2: Convert to fraction form
    16,857.64/23,264.58 = 9,405.64/x
  3. Step 3: Cross multiply
    16,857.64x = 23,264.58 × 9,405.64
  4. Step 4: Simplify right side
    16,857.64x = 218,818,264.23
  5. Step 5: Solve for x
    x = 218,818,264.23/16,857.64
  6. Step 6: Final answer
    x = 12,980.36

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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.