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Finding the Fourth Proportional to 26,129.40, 39,194.10 and 7,661.40

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Solution

The fourth proportional to 26,129.40, 39,194.10 and 7,661.40 is: 11,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,129.40 : 39,194.10 = 7,661.40 : x
  2. Step 2: Convert to fraction form
    26,129.40/39,194.10 = 7,661.40/x
  3. Step 3: Cross multiply
    26,129.40x = 39,194.10 × 7,661.40
  4. Step 4: Simplify right side
    26,129.40x = 300,281,677.74
  5. Step 5: Solve for x
    x = 300,281,677.74/26,129.40
  6. Step 6: Final answer
    x = 11,492.10

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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.