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Finding the Fourth Proportional to 26,702.10, 40,051.68 and 7,982.30

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Solution

The fourth proportional to 26,702.10, 40,051.68 and 7,982.30 is: 11,973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,702.10 : 40,051.68 = 7,982.30 : x
  2. Step 2: Convert to fraction form
    26,702.10/40,051.68 = 7,982.30/x
  3. Step 3: Cross multiply
    26,702.10x = 40,051.68 × 7,982.30
  4. Step 4: Simplify right side
    26,702.10x = 319,704,525.26
  5. Step 5: Solve for x
    x = 319,704,525.26/26,702.10
  6. Step 6: Final answer
    x = 11,973.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.