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Finding the Fourth Proportional to 21,967.35, 30,315 and 11,895.92

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Solution

The fourth proportional to 21,967.35, 30,315 and 11,895.92 is: 16,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.35 : 30,315 = 11,895.92 : x
  2. Step 2: Convert to fraction form
    21,967.35/30,315 = 11,895.92/x
  3. Step 3: Cross multiply
    21,967.35x = 30,315 × 11,895.92
  4. Step 4: Simplify right side
    21,967.35x = 360,624,663.23
  5. Step 5: Solve for x
    x = 360,624,663.23/21,967.35
  6. Step 6: Final answer
    x = 16,416.39

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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.