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Finding the Fourth Proportional to 16,965, 23,411.70 and 9,890.06

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Solution

The fourth proportional to 16,965, 23,411.70 and 9,890.06 is: 13,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965 : 23,411.70 = 9,890.06 : x
  2. Step 2: Convert to fraction form
    16,965/23,411.70 = 9,890.06/x
  3. Step 3: Cross multiply
    16,965x = 23,411.70 × 9,890.06
  4. Step 4: Simplify right side
    16,965x = 231,543,000.64
  5. Step 5: Solve for x
    x = 231,543,000.64/16,965
  6. Step 6: Final answer
    x = 13,648.28

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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.