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Finding the Fourth Proportional to 21,892.86, 30,188.12 and 14,806.98

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Solution

The fourth proportional to 21,892.86, 30,188.12 and 14,806.98 is: 20,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.86 : 30,188.12 = 14,806.98 : x
  2. Step 2: Convert to fraction form
    21,892.86/30,188.12 = 14,806.98/x
  3. Step 3: Cross multiply
    21,892.86x = 30,188.12 × 14,806.98
  4. Step 4: Simplify right side
    21,892.86x = 446,994,889.08
  5. Step 5: Solve for x
    x = 446,994,889.08/21,892.86
  6. Step 6: Final answer
    x = 20,417.38

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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.