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Finding the Fourth Proportional to 14,763.72, 20,368.82 and 9,461.46

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Solution

The fourth proportional to 14,763.72, 20,368.82 and 9,461.46 is: 13,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,763.72 : 20,368.82 = 9,461.46 : x
  2. Step 2: Convert to fraction form
    14,763.72/20,368.82 = 9,461.46/x
  3. Step 3: Cross multiply
    14,763.72x = 20,368.82 × 9,461.46
  4. Step 4: Simplify right side
    14,763.72x = 192,718,799.33
  5. Step 5: Solve for x
    x = 192,718,799.33/14,763.72
  6. Step 6: Final answer
    x = 13,053.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.