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Finding the Fourth Proportional to 26,830.60, 40,246.40 and 9,301

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Solution

The fourth proportional to 26,830.60, 40,246.40 and 9,301 is: 13,951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,830.60 : 40,246.40 = 9,301 : x
  2. Step 2: Convert to fraction form
    26,830.60/40,246.40 = 9,301/x
  3. Step 3: Cross multiply
    26,830.60x = 40,246.40 × 9,301
  4. Step 4: Simplify right side
    26,830.60x = 374,331,766.40
  5. Step 5: Solve for x
    x = 374,331,766.40/26,830.60
  6. Step 6: Final answer
    x = 13,951.67

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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.