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Finding the Fourth Proportional to 14,411.89, 19,888.23 and 8,124.27

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Solution

The fourth proportional to 14,411.89, 19,888.23 and 8,124.27 is: 11,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.89 : 19,888.23 = 8,124.27 : x
  2. Step 2: Convert to fraction form
    14,411.89/19,888.23 = 8,124.27/x
  3. Step 3: Cross multiply
    14,411.89x = 19,888.23 × 8,124.27
  4. Step 4: Simplify right side
    14,411.89x = 161,577,350.34
  5. Step 5: Solve for x
    x = 161,577,350.34/14,411.89
  6. Step 6: Final answer
    x = 11,211.39

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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.