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Finding the Fourth Proportional to 16,706, 23,054.28 and 10,082

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Solution

The fourth proportional to 16,706, 23,054.28 and 10,082 is: 13,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706 : 23,054.28 = 10,082 : x
  2. Step 2: Convert to fraction form
    16,706/23,054.28 = 10,082/x
  3. Step 3: Cross multiply
    16,706x = 23,054.28 × 10,082
  4. Step 4: Simplify right side
    16,706x = 232,433,250.96
  5. Step 5: Solve for x
    x = 232,433,250.96/16,706
  6. Step 6: Final answer
    x = 13,913.16

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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.