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Finding the Fourth Proportional to 14,532.74, 20,055.84 and 8,564.66

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Solution

The fourth proportional to 14,532.74, 20,055.84 and 8,564.66 is: 11,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.74 : 20,055.84 = 8,564.66 : x
  2. Step 2: Convert to fraction form
    14,532.74/20,055.84 = 8,564.66/x
  3. Step 3: Cross multiply
    14,532.74x = 20,055.84 × 8,564.66
  4. Step 4: Simplify right side
    14,532.74x = 171,771,450.61
  5. Step 5: Solve for x
    x = 171,771,450.61/14,532.74
  6. Step 6: Final answer
    x = 11,819.62

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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.