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Finding the Fourth Proportional to 14,064.70, 19,409.30 and 7,777.08

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Solution

The fourth proportional to 14,064.70, 19,409.30 and 7,777.08 is: 10,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.70 : 19,409.30 = 7,777.08 : x
  2. Step 2: Convert to fraction form
    14,064.70/19,409.30 = 7,777.08/x
  3. Step 3: Cross multiply
    14,064.70x = 19,409.30 × 7,777.08
  4. Step 4: Simplify right side
    14,064.70x = 150,947,678.84
  5. Step 5: Solve for x
    x = 150,947,678.84/14,064.70
  6. Step 6: Final answer
    x = 10,732.38

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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.