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Finding the Fourth Proportional to 14,423.38, 19,904.26 and 7,799.38

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Solution

The fourth proportional to 14,423.38, 19,904.26 and 7,799.38 is: 10,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.38 : 19,904.26 = 7,799.38 : x
  2. Step 2: Convert to fraction form
    14,423.38/19,904.26 = 7,799.38/x
  3. Step 3: Cross multiply
    14,423.38x = 19,904.26 × 7,799.38
  4. Step 4: Simplify right side
    14,423.38x = 155,240,787.84
  5. Step 5: Solve for x
    x = 155,240,787.84/14,423.38
  6. Step 6: Final answer
    x = 10,763.14

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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.