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Finding the Fourth Proportional to 14,530.08, 21,804 and 9,613.92

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Solution

The fourth proportional to 14,530.08, 21,804 and 9,613.92 is: 14,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.08 : 21,804 = 9,613.92 : x
  2. Step 2: Convert to fraction form
    14,530.08/21,804 = 9,613.92/x
  3. Step 3: Cross multiply
    14,530.08x = 21,804 × 9,613.92
  4. Step 4: Simplify right side
    14,530.08x = 209,621,911.68
  5. Step 5: Solve for x
    x = 209,621,911.68/14,530.08
  6. Step 6: Final answer
    x = 14,426.76

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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.