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Finding the Fourth Proportional to 21,617, 32,425.50 and 5,201

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Solution

The fourth proportional to 21,617, 32,425.50 and 5,201 is: 7,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,617 : 32,425.50 = 5,201 : x
  2. Step 2: Convert to fraction form
    21,617/32,425.50 = 5,201/x
  3. Step 3: Cross multiply
    21,617x = 32,425.50 × 5,201
  4. Step 4: Simplify right side
    21,617x = 168,645,025.50
  5. Step 5: Solve for x
    x = 168,645,025.50/21,617
  6. Step 6: Final answer
    x = 7,801.50

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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.