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Finding the Fourth Proportional to 26,202.60, 39,307.14 and 8,434.44

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Solution

The fourth proportional to 26,202.60, 39,307.14 and 8,434.44 is: 12,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,202.60 : 39,307.14 = 8,434.44 : x
  2. Step 2: Convert to fraction form
    26,202.60/39,307.14 = 8,434.44/x
  3. Step 3: Cross multiply
    26,202.60x = 39,307.14 × 8,434.44
  4. Step 4: Simplify right side
    26,202.60x = 331,533,713.90
  5. Step 5: Solve for x
    x = 331,533,713.90/26,202.60
  6. Step 6: Final answer
    x = 12,652.70

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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.