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Finding the Fourth Proportional to 14,017.38, 19,343.58 and 7,729.74

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Solution

The fourth proportional to 14,017.38, 19,343.58 and 7,729.74 is: 10,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.38 : 19,343.58 = 7,729.74 : x
  2. Step 2: Convert to fraction form
    14,017.38/19,343.58 = 7,729.74/x
  3. Step 3: Cross multiply
    14,017.38x = 19,343.58 × 7,729.74
  4. Step 4: Simplify right side
    14,017.38x = 149,520,844.07
  5. Step 5: Solve for x
    x = 149,520,844.07/14,017.38
  6. Step 6: Final answer
    x = 10,666.82

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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.