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Finding the Fourth Proportional to 26,051.34, 35,950.82 and 14,114.98

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Solution

The fourth proportional to 26,051.34, 35,950.82 and 14,114.98 is: 19,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,051.34 : 35,950.82 = 14,114.98 : x
  2. Step 2: Convert to fraction form
    26,051.34/35,950.82 = 14,114.98/x
  3. Step 3: Cross multiply
    26,051.34x = 35,950.82 × 14,114.98
  4. Step 4: Simplify right side
    26,051.34x = 507,445,105.28
  5. Step 5: Solve for x
    x = 507,445,105.28/26,051.34
  6. Step 6: Final answer
    x = 19,478.66

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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.