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Finding the Fourth Proportional to 14,409.08, 21,613.62 and 7,469

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Solution

The fourth proportional to 14,409.08, 21,613.62 and 7,469 is: 11,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.08 : 21,613.62 = 7,469 : x
  2. Step 2: Convert to fraction form
    14,409.08/21,613.62 = 7,469/x
  3. Step 3: Cross multiply
    14,409.08x = 21,613.62 × 7,469
  4. Step 4: Simplify right side
    14,409.08x = 161,432,127.78
  5. Step 5: Solve for x
    x = 161,432,127.78/14,409.08
  6. Step 6: Final answer
    x = 11,203.50

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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.