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Finding the Fourth Proportional to 14,123.94, 19,493.38 and 7,838.34

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Solution

The fourth proportional to 14,123.94, 19,493.38 and 7,838.34 is: 10,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.94 : 19,493.38 = 7,838.34 : x
  2. Step 2: Convert to fraction form
    14,123.94/19,493.38 = 7,838.34/x
  3. Step 3: Cross multiply
    14,123.94x = 19,493.38 × 7,838.34
  4. Step 4: Simplify right side
    14,123.94x = 152,795,740.19
  5. Step 5: Solve for x
    x = 152,795,740.19/14,123.94
  6. Step 6: Final answer
    x = 10,818.21

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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.