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Finding the Fourth Proportional to 14,416.38, 19,894.62 and 8,446.86

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Solution

The fourth proportional to 14,416.38, 19,894.62 and 8,446.86 is: 11,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.38 : 19,894.62 = 8,446.86 : x
  2. Step 2: Convert to fraction form
    14,416.38/19,894.62 = 8,446.86/x
  3. Step 3: Cross multiply
    14,416.38x = 19,894.62 × 8,446.86
  4. Step 4: Simplify right side
    14,416.38x = 168,047,069.89
  5. Step 5: Solve for x
    x = 168,047,069.89/14,416.38
  6. Step 6: Final answer
    x = 11,656.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.