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Finding the Fourth Proportional to 14,224.75, 19,630.13 and 7,851.74

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Solution

The fourth proportional to 14,224.75, 19,630.13 and 7,851.74 is: 10,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.75 : 19,630.13 = 7,851.74 : x
  2. Step 2: Convert to fraction form
    14,224.75/19,630.13 = 7,851.74/x
  3. Step 3: Cross multiply
    14,224.75x = 19,630.13 × 7,851.74
  4. Step 4: Simplify right side
    14,224.75x = 154,130,676.93
  5. Step 5: Solve for x
    x = 154,130,676.93/14,224.75
  6. Step 6: Final answer
    x = 10,835.39

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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.