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Finding the Fourth Proportional to 14,416.70, 21,637.19 and 5,657.76

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Solution

The fourth proportional to 14,416.70, 21,637.19 and 5,657.76 is: 8,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.70 : 21,637.19 = 5,657.76 : x
  2. Step 2: Convert to fraction form
    14,416.70/21,637.19 = 5,657.76/x
  3. Step 3: Cross multiply
    14,416.70x = 21,637.19 × 5,657.76
  4. Step 4: Simplify right side
    14,416.70x = 122,418,042.24
  5. Step 5: Solve for x
    x = 122,418,042.24/14,416.70
  6. Step 6: Final answer
    x = 8,491.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.