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Finding the Fourth Proportional to 14,411.54, 19,888.04 and 8,037.92

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Solution

The fourth proportional to 14,411.54, 19,888.04 and 8,037.92 is: 11,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.54 : 19,888.04 = 8,037.92 : x
  2. Step 2: Convert to fraction form
    14,411.54/19,888.04 = 8,037.92/x
  3. Step 3: Cross multiply
    14,411.54x = 19,888.04 × 8,037.92
  4. Step 4: Simplify right side
    14,411.54x = 159,858,395.13
  5. Step 5: Solve for x
    x = 159,858,395.13/14,411.54
  6. Step 6: Final answer
    x = 11,092.39

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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.