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Finding the Fourth Proportional to 14,052.69, 19,393.16 and 7,764.93

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Solution

The fourth proportional to 14,052.69, 19,393.16 and 7,764.93 is: 10,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.69 : 19,393.16 = 7,764.93 : x
  2. Step 2: Convert to fraction form
    14,052.69/19,393.16 = 7,764.93/x
  3. Step 3: Cross multiply
    14,052.69x = 19,393.16 × 7,764.93
  4. Step 4: Simplify right side
    14,052.69x = 150,586,491.05
  5. Step 5: Solve for x
    x = 150,586,491.05/14,052.69
  6. Step 6: Final answer
    x = 10,715.85

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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.