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Finding the Fourth Proportional to 14,835.65, 20,478.38 and 9,174.74

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Solution

The fourth proportional to 14,835.65, 20,478.38 and 9,174.74 is: 12,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835.65 : 20,478.38 = 9,174.74 : x
  2. Step 2: Convert to fraction form
    14,835.65/20,478.38 = 9,174.74/x
  3. Step 3: Cross multiply
    14,835.65x = 20,478.38 × 9,174.74
  4. Step 4: Simplify right side
    14,835.65x = 187,883,663.86
  5. Step 5: Solve for x
    x = 187,883,663.86/14,835.65
  6. Step 6: Final answer
    x = 12,664.34

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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.