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Finding the Fourth Proportional to 21,615.84, 32,425.47 and 6,825.90

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Solution

The fourth proportional to 21,615.84, 32,425.47 and 6,825.90 is: 10,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.84 : 32,425.47 = 6,825.90 : x
  2. Step 2: Convert to fraction form
    21,615.84/32,425.47 = 6,825.90/x
  3. Step 3: Cross multiply
    21,615.84x = 32,425.47 × 6,825.90
  4. Step 4: Simplify right side
    21,615.84x = 221,333,015.67
  5. Step 5: Solve for x
    x = 221,333,015.67/21,615.84
  6. Step 6: Final answer
    x = 10,239.39

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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.