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Finding the Fourth Proportional to 14,012.04, 19,336.38 and 7,638.70

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Solution

The fourth proportional to 14,012.04, 19,336.38 and 7,638.70 is: 10,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.04 : 19,336.38 = 7,638.70 : x
  2. Step 2: Convert to fraction form
    14,012.04/19,336.38 = 7,638.70/x
  3. Step 3: Cross multiply
    14,012.04x = 19,336.38 × 7,638.70
  4. Step 4: Simplify right side
    14,012.04x = 147,704,805.91
  5. Step 5: Solve for x
    x = 147,704,805.91/14,012.04
  6. Step 6: Final answer
    x = 10,541.28

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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.