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Finding the Fourth Proportional to 14,051.38, 19,391.16 and 7,677.94

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Solution

The fourth proportional to 14,051.38, 19,391.16 and 7,677.94 is: 10,595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.38 : 19,391.16 = 7,677.94 : x
  2. Step 2: Convert to fraction form
    14,051.38/19,391.16 = 7,677.94/x
  3. Step 3: Cross multiply
    14,051.38x = 19,391.16 × 7,677.94
  4. Step 4: Simplify right side
    14,051.38x = 148,884,163.01
  5. Step 5: Solve for x
    x = 148,884,163.01/14,051.38
  6. Step 6: Final answer
    x = 10,595.70

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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.