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Finding the Fourth Proportional to 14,653.51, 20,220.64 and 8,279.75

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Solution

The fourth proportional to 14,653.51, 20,220.64 and 8,279.75 is: 11,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.51 : 20,220.64 = 8,279.75 : x
  2. Step 2: Convert to fraction form
    14,653.51/20,220.64 = 8,279.75/x
  3. Step 3: Cross multiply
    14,653.51x = 20,220.64 × 8,279.75
  4. Step 4: Simplify right side
    14,653.51x = 167,421,873.89
  5. Step 5: Solve for x
    x = 167,421,873.89/14,653.51
  6. Step 6: Final answer
    x = 11,425.38

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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.