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Finding the Fourth Proportional to 26,077.84, 39,114.71 and 7,357.12

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Solution

The fourth proportional to 26,077.84, 39,114.71 and 7,357.12 is: 11,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,077.84 : 39,114.71 = 7,357.12 : x
  2. Step 2: Convert to fraction form
    26,077.84/39,114.71 = 7,357.12/x
  3. Step 3: Cross multiply
    26,077.84x = 39,114.71 × 7,357.12
  4. Step 4: Simplify right side
    26,077.84x = 287,771,480.66
  5. Step 5: Solve for x
    x = 287,771,480.66/26,077.84
  6. Step 6: Final answer
    x = 11,035.10

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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.