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Finding the Fourth Proportional to 14,470.38, 19,980.45 and 11,107.86

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Solution

The fourth proportional to 14,470.38, 19,980.45 and 11,107.86 is: 15,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.38 : 19,980.45 = 11,107.86 : x
  2. Step 2: Convert to fraction form
    14,470.38/19,980.45 = 11,107.86/x
  3. Step 3: Cross multiply
    14,470.38x = 19,980.45 × 11,107.86
  4. Step 4: Simplify right side
    14,470.38x = 221,940,041.34
  5. Step 5: Solve for x
    x = 221,940,041.34/14,470.38
  6. Step 6: Final answer
    x = 15,337.54

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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.