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Finding the Fourth Proportional to 21,646.54, 32,456.67 and 8,483.14

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Solution

The fourth proportional to 21,646.54, 32,456.67 and 8,483.14 is: 12,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.54 : 32,456.67 = 8,483.14 : x
  2. Step 2: Convert to fraction form
    21,646.54/32,456.67 = 8,483.14/x
  3. Step 3: Cross multiply
    21,646.54x = 32,456.67 × 8,483.14
  4. Step 4: Simplify right side
    21,646.54x = 275,334,475.54
  5. Step 5: Solve for x
    x = 275,334,475.54/21,646.54
  6. Step 6: Final answer
    x = 12,719.56

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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.