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Finding the Fourth Proportional to 21,838.60, 32,741.70 and 9,348.40

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Solution

The fourth proportional to 21,838.60, 32,741.70 and 9,348.40 is: 14,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.60 : 32,741.70 = 9,348.40 : x
  2. Step 2: Convert to fraction form
    21,838.60/32,741.70 = 9,348.40/x
  3. Step 3: Cross multiply
    21,838.60x = 32,741.70 × 9,348.40
  4. Step 4: Simplify right side
    21,838.60x = 306,082,508.28
  5. Step 5: Solve for x
    x = 306,082,508.28/21,838.60
  6. Step 6: Final answer
    x = 14,015.67

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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.