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Finding the Fourth Proportional to 12,421.76, 18,632.84 and 6,566.27

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Solution

The fourth proportional to 12,421.76, 18,632.84 and 6,566.27 is: 9,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.76 : 18,632.84 = 6,566.27 : x
  2. Step 2: Convert to fraction form
    12,421.76/18,632.84 = 6,566.27/x
  3. Step 3: Cross multiply
    12,421.76x = 18,632.84 × 6,566.27
  4. Step 4: Simplify right side
    12,421.76x = 122,348,132.31
  5. Step 5: Solve for x
    x = 122,348,132.31/12,421.76
  6. Step 6: Final answer
    x = 9,849.50

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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.