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Finding the Fourth Proportional to 14,192.95, 19,578.83 and 10,829.93

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Solution

The fourth proportional to 14,192.95, 19,578.83 and 10,829.93 is: 14,939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.95 : 19,578.83 = 10,829.93 : x
  2. Step 2: Convert to fraction form
    14,192.95/19,578.83 = 10,829.93/x
  3. Step 3: Cross multiply
    14,192.95x = 19,578.83 × 10,829.93
  4. Step 4: Simplify right side
    14,192.95x = 212,037,358.38
  5. Step 5: Solve for x
    x = 212,037,358.38/14,192.95
  6. Step 6: Final answer
    x = 14,939.63

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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.