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Finding the Fourth Proportional to 14,124, 19,491.11 and 7,750.63

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Solution

The fourth proportional to 14,124, 19,491.11 and 7,750.63 is: 10,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124 : 19,491.11 = 7,750.63 : x
  2. Step 2: Convert to fraction form
    14,124/19,491.11 = 7,750.63/x
  3. Step 3: Cross multiply
    14,124x = 19,491.11 × 7,750.63
  4. Step 4: Simplify right side
    14,124x = 151,068,294.42
  5. Step 5: Solve for x
    x = 151,068,294.42/14,124
  6. Step 6: Final answer
    x = 10,695.86

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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.