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Finding the Fourth Proportional to 14,235.32, 19,644.54 and 7,861.96

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Solution

The fourth proportional to 14,235.32, 19,644.54 and 7,861.96 is: 10,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.32 : 19,644.54 = 7,861.96 : x
  2. Step 2: Convert to fraction form
    14,235.32/19,644.54 = 7,861.96/x
  3. Step 3: Cross multiply
    14,235.32x = 19,644.54 × 7,861.96
  4. Step 4: Simplify right side
    14,235.32x = 154,444,587.70
  5. Step 5: Solve for x
    x = 154,444,587.70/14,235.32
  6. Step 6: Final answer
    x = 10,849.39

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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.