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Finding the Fourth Proportional to 21,956.50, 30,291.70 and 14,407

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Solution

The fourth proportional to 21,956.50, 30,291.70 and 14,407 is: 19,876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,956.50 : 30,291.70 = 14,407 : x
  2. Step 2: Convert to fraction form
    21,956.50/30,291.70 = 14,407/x
  3. Step 3: Cross multiply
    21,956.50x = 30,291.70 × 14,407
  4. Step 4: Simplify right side
    21,956.50x = 436,412,521.90
  5. Step 5: Solve for x
    x = 436,412,521.90/21,956.50
  6. Step 6: Final answer
    x = 19,876.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.