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Finding the Fourth Proportional to 10,970.36, 16,440.36 and 9,505.88

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Solution

The fourth proportional to 10,970.36, 16,440.36 and 9,505.88 is: 14,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.36 : 16,440.36 = 9,505.88 : x
  2. Step 2: Convert to fraction form
    10,970.36/16,440.36 = 9,505.88/x
  3. Step 3: Cross multiply
    10,970.36x = 16,440.36 × 9,505.88
  4. Step 4: Simplify right side
    10,970.36x = 156,280,089.32
  5. Step 5: Solve for x
    x = 156,280,089.32/10,970.36
  6. Step 6: Final answer
    x = 14,245.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.