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Finding the Fourth Proportional to 14,389.76, 21,575.98 and 5,628.80

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Solution

The fourth proportional to 14,389.76, 21,575.98 and 5,628.80 is: 8,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.76 : 21,575.98 = 5,628.80 : x
  2. Step 2: Convert to fraction form
    14,389.76/21,575.98 = 5,628.80/x
  3. Step 3: Cross multiply
    14,389.76x = 21,575.98 × 5,628.80
  4. Step 4: Simplify right side
    14,389.76x = 121,446,876.22
  5. Step 5: Solve for x
    x = 121,446,876.22/14,389.76
  6. Step 6: Final answer
    x = 8,439.81

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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.