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Finding the Fourth Proportional to 14,267.38, 19,688.61 and 7,980.34

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Solution

The fourth proportional to 14,267.38, 19,688.61 and 7,980.34 is: 11,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,267.38 : 19,688.61 = 7,980.34 : x
  2. Step 2: Convert to fraction form
    14,267.38/19,688.61 = 7,980.34/x
  3. Step 3: Cross multiply
    14,267.38x = 19,688.61 × 7,980.34
  4. Step 4: Simplify right side
    14,267.38x = 157,121,801.93
  5. Step 5: Solve for x
    x = 157,121,801.93/14,267.38
  6. Step 6: Final answer
    x = 11,012.66

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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.