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Finding the Fourth Proportional to 14,041.76, 19,377.37 and 7,754

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Solution

The fourth proportional to 14,041.76, 19,377.37 and 7,754 is: 10,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.76 : 19,377.37 = 7,754 : x
  2. Step 2: Convert to fraction form
    14,041.76/19,377.37 = 7,754/x
  3. Step 3: Cross multiply
    14,041.76x = 19,377.37 × 7,754
  4. Step 4: Simplify right side
    14,041.76x = 150,252,126.98
  5. Step 5: Solve for x
    x = 150,252,126.98/14,041.76
  6. Step 6: Final answer
    x = 10,700.38

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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.