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Finding the Fourth Proportional to 21,615.58, 32,420.64 and 6,825.99

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Solution

The fourth proportional to 21,615.58, 32,420.64 and 6,825.99 is: 10,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.58 : 32,420.64 = 6,825.99 : x
  2. Step 2: Convert to fraction form
    21,615.58/32,420.64 = 6,825.99/x
  3. Step 3: Cross multiply
    21,615.58x = 32,420.64 × 6,825.99
  4. Step 4: Simplify right side
    21,615.58x = 221,303,073.21
  5. Step 5: Solve for x
    x = 221,303,073.21/21,615.58
  6. Step 6: Final answer
    x = 10,238.13

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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.