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Finding the Fourth Proportional to 14,830.89, 20,457.73 and 9,795.12

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Solution

The fourth proportional to 14,830.89, 20,457.73 and 9,795.12 is: 13,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.89 : 20,457.73 = 9,795.12 : x
  2. Step 2: Convert to fraction form
    14,830.89/20,457.73 = 9,795.12/x
  3. Step 3: Cross multiply
    14,830.89x = 20,457.73 × 9,795.12
  4. Step 4: Simplify right side
    14,830.89x = 200,385,920.28
  5. Step 5: Solve for x
    x = 200,385,920.28/14,830.89
  6. Step 6: Final answer
    x = 13,511.39

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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.