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Finding the Fourth Proportional to 26,051.34, 35,950.94 and 14,114.64

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Solution

The fourth proportional to 26,051.34, 35,950.94 and 14,114.64 is: 19,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,051.34 : 35,950.94 = 14,114.64 : x
  2. Step 2: Convert to fraction form
    26,051.34/35,950.94 = 14,114.64/x
  3. Step 3: Cross multiply
    26,051.34x = 35,950.94 × 14,114.64
  4. Step 4: Simplify right side
    26,051.34x = 507,434,575.76
  5. Step 5: Solve for x
    x = 507,434,575.76/26,051.34
  6. Step 6: Final answer
    x = 19,478.25

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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.