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Finding the Fourth Proportional to 21,557.31, 32,325 and 9,860.50

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Solution

The fourth proportional to 21,557.31, 32,325 and 9,860.50 is: 14,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,557.31 : 32,325 = 9,860.50 : x
  2. Step 2: Convert to fraction form
    21,557.31/32,325 = 9,860.50/x
  3. Step 3: Cross multiply
    21,557.31x = 32,325 × 9,860.50
  4. Step 4: Simplify right side
    21,557.31x = 318,740,662.50
  5. Step 5: Solve for x
    x = 318,740,662.50/21,557.31
  6. Step 6: Final answer
    x = 14,785.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.