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Finding the Fourth Proportional to 21,065.12, 31,597.58 and 8,582.36

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Solution

The fourth proportional to 21,065.12, 31,597.58 and 8,582.36 is: 12,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.12 : 31,597.58 = 8,582.36 : x
  2. Step 2: Convert to fraction form
    21,065.12/31,597.58 = 8,582.36/x
  3. Step 3: Cross multiply
    21,065.12x = 31,597.58 × 8,582.36
  4. Step 4: Simplify right side
    21,065.12x = 271,181,806.69
  5. Step 5: Solve for x
    x = 271,181,806.69/21,065.12
  6. Step 6: Final answer
    x = 12,873.50

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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.