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Finding the Fourth Proportional to 14,423.14, 19,904.62 and 8,135.38

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Solution

The fourth proportional to 14,423.14, 19,904.62 and 8,135.38 is: 11,227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.14 : 19,904.62 = 8,135.38 : x
  2. Step 2: Convert to fraction form
    14,423.14/19,904.62 = 8,135.38/x
  3. Step 3: Cross multiply
    14,423.14x = 19,904.62 × 8,135.38
  4. Step 4: Simplify right side
    14,423.14x = 161,931,647.46
  5. Step 5: Solve for x
    x = 161,931,647.46/14,423.14
  6. Step 6: Final answer
    x = 11,227.21

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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.