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Finding the Fourth Proportional to 29,112.84, 43,646.94 and 13,306.86

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Solution

The fourth proportional to 29,112.84, 43,646.94 and 13,306.86 is: 19,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,112.84 : 43,646.94 = 13,306.86 : x
  2. Step 2: Convert to fraction form
    29,112.84/43,646.94 = 13,306.86/x
  3. Step 3: Cross multiply
    29,112.84x = 43,646.94 × 13,306.86
  4. Step 4: Simplify right side
    29,112.84x = 580,803,720.01
  5. Step 5: Solve for x
    x = 580,803,720.01/29,112.84
  6. Step 6: Final answer
    x = 19,950.09

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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.