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Finding the Fourth Proportional to 14,096.44, 19,453.62 and 7,808.76

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Solution

The fourth proportional to 14,096.44, 19,453.62 and 7,808.76 is: 10,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.44 : 19,453.62 = 7,808.76 : x
  2. Step 2: Convert to fraction form
    14,096.44/19,453.62 = 7,808.76/x
  3. Step 3: Cross multiply
    14,096.44x = 19,453.62 × 7,808.76
  4. Step 4: Simplify right side
    14,096.44x = 151,908,649.71
  5. Step 5: Solve for x
    x = 151,908,649.71/14,096.44
  6. Step 6: Final answer
    x = 10,776.38

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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.