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Finding the Fourth Proportional to 12,402, 17,064.54 and 11,971.08

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Solution

The fourth proportional to 12,402, 17,064.54 and 11,971.08 is: 16,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402 : 17,064.54 = 11,971.08 : x
  2. Step 2: Convert to fraction form
    12,402/17,064.54 = 11,971.08/x
  3. Step 3: Cross multiply
    12,402x = 17,064.54 × 11,971.08
  4. Step 4: Simplify right side
    12,402x = 204,280,973.50
  5. Step 5: Solve for x
    x = 204,280,973.50/12,402
  6. Step 6: Final answer
    x = 16,471.62

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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.