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Finding the Fourth Proportional to 14,124.84, 19,493.82 and 8,158.38

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Solution

The fourth proportional to 14,124.84, 19,493.82 and 8,158.38 is: 11,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.84 : 19,493.82 = 8,158.38 : x
  2. Step 2: Convert to fraction form
    14,124.84/19,493.82 = 8,158.38/x
  3. Step 3: Cross multiply
    14,124.84x = 19,493.82 × 8,158.38
  4. Step 4: Simplify right side
    14,124.84x = 159,037,991.21
  5. Step 5: Solve for x
    x = 159,037,991.21/14,124.84
  6. Step 6: Final answer
    x = 11,259.45

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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.