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Finding the Fourth Proportional to 14,631.08, 20,194.06 and 9,250.10

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Solution

The fourth proportional to 14,631.08, 20,194.06 and 9,250.10 is: 12,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,631.08 : 20,194.06 = 9,250.10 : x
  2. Step 2: Convert to fraction form
    14,631.08/20,194.06 = 9,250.10/x
  3. Step 3: Cross multiply
    14,631.08x = 20,194.06 × 9,250.10
  4. Step 4: Simplify right side
    14,631.08x = 186,797,043.38
  5. Step 5: Solve for x
    x = 186,797,043.38/14,631.08
  6. Step 6: Final answer
    x = 12,767.14

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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.