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Finding the Fourth Proportional to 14,678.54, 20,257.74 and 8,389.70

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Solution

The fourth proportional to 14,678.54, 20,257.74 and 8,389.70 is: 11,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.54 : 20,257.74 = 8,389.70 : x
  2. Step 2: Convert to fraction form
    14,678.54/20,257.74 = 8,389.70/x
  3. Step 3: Cross multiply
    14,678.54x = 20,257.74 × 8,389.70
  4. Step 4: Simplify right side
    14,678.54x = 169,956,259.99
  5. Step 5: Solve for x
    x = 169,956,259.99/14,678.54
  6. Step 6: Final answer
    x = 11,578.56

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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.