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Finding the Fourth Proportional to 21,626.60, 32,428.38 and 6,829.16

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Solution

The fourth proportional to 21,626.60, 32,428.38 and 6,829.16 is: 10,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,626.60 : 32,428.38 = 6,829.16 : x
  2. Step 2: Convert to fraction form
    21,626.60/32,428.38 = 6,829.16/x
  3. Step 3: Cross multiply
    21,626.60x = 32,428.38 × 6,829.16
  4. Step 4: Simplify right side
    21,626.60x = 221,458,595.56
  5. Step 5: Solve for x
    x = 221,458,595.56/21,626.60
  6. Step 6: Final answer
    x = 10,240.10

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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.