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Finding the Fourth Proportional to 14,094.64, 19,450.62 and 7,807

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Solution

The fourth proportional to 14,094.64, 19,450.62 and 7,807 is: 10,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094.64 : 19,450.62 = 7,807 : x
  2. Step 2: Convert to fraction form
    14,094.64/19,450.62 = 7,807/x
  3. Step 3: Cross multiply
    14,094.64x = 19,450.62 × 7,807
  4. Step 4: Simplify right side
    14,094.64x = 151,850,990.34
  5. Step 5: Solve for x
    x = 151,850,990.34/14,094.64
  6. Step 6: Final answer
    x = 10,773.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.