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Finding the Fourth Proportional to 12,953.66, 19,429.20 and 4,633.34

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Solution

The fourth proportional to 12,953.66, 19,429.20 and 4,633.34 is: 6,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.66 : 19,429.20 = 4,633.34 : x
  2. Step 2: Convert to fraction form
    12,953.66/19,429.20 = 4,633.34/x
  3. Step 3: Cross multiply
    12,953.66x = 19,429.20 × 4,633.34
  4. Step 4: Simplify right side
    12,953.66x = 90,021,992.38
  5. Step 5: Solve for x
    x = 90,021,992.38/12,953.66
  6. Step 6: Final answer
    x = 6,949.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.