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Finding the Fourth Proportional to 16,532.75, 24,802.76 and 5,438.99

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Solution

The fourth proportional to 16,532.75, 24,802.76 and 5,438.99 is: 8,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,532.75 : 24,802.76 = 5,438.99 : x
  2. Step 2: Convert to fraction form
    16,532.75/24,802.76 = 5,438.99/x
  3. Step 3: Cross multiply
    16,532.75x = 24,802.76 × 5,438.99
  4. Step 4: Simplify right side
    16,532.75x = 134,901,812.40
  5. Step 5: Solve for x
    x = 134,901,812.40/16,532.75
  6. Step 6: Final answer
    x = 8,159.67

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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.