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Finding the Fourth Proportional to 14,985.21, 22,489.16 and 8,416.92

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Solution

The fourth proportional to 14,985.21, 22,489.16 and 8,416.92 is: 12,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,985.21 : 22,489.16 = 8,416.92 : x
  2. Step 2: Convert to fraction form
    14,985.21/22,489.16 = 8,416.92/x
  3. Step 3: Cross multiply
    14,985.21x = 22,489.16 × 8,416.92
  4. Step 4: Simplify right side
    14,985.21x = 189,289,418.50
  5. Step 5: Solve for x
    x = 189,289,418.50/14,985.21
  6. Step 6: Final answer
    x = 12,631.75

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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.