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Finding the Fourth Proportional to 14,705.76, 22,052.81 and 5,340.67

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Solution

The fourth proportional to 14,705.76, 22,052.81 and 5,340.67 is: 8,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.76 : 22,052.81 = 5,340.67 : x
  2. Step 2: Convert to fraction form
    14,705.76/22,052.81 = 5,340.67/x
  3. Step 3: Cross multiply
    14,705.76x = 22,052.81 × 5,340.67
  4. Step 4: Simplify right side
    14,705.76x = 117,776,833.01
  5. Step 5: Solve for x
    x = 117,776,833.01/14,705.76
  6. Step 6: Final answer
    x = 8,008.89

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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.