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Finding the Fourth Proportional to 14,968.38, 20,653.95 and 8,998.62

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Solution

The fourth proportional to 14,968.38, 20,653.95 and 8,998.62 is: 12,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,968.38 : 20,653.95 = 8,998.62 : x
  2. Step 2: Convert to fraction form
    14,968.38/20,653.95 = 8,998.62/x
  3. Step 3: Cross multiply
    14,968.38x = 20,653.95 × 8,998.62
  4. Step 4: Simplify right side
    14,968.38x = 185,857,047.55
  5. Step 5: Solve for x
    x = 185,857,047.55/14,968.38
  6. Step 6: Final answer
    x = 12,416.64

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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.