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Finding the Fourth Proportional to 29,854.84, 44,775.26 and 13,205.80

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Solution

The fourth proportional to 29,854.84, 44,775.26 and 13,205.80 is: 19,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854.84 : 44,775.26 = 13,205.80 : x
  2. Step 2: Convert to fraction form
    29,854.84/44,775.26 = 13,205.80/x
  3. Step 3: Cross multiply
    29,854.84x = 44,775.26 × 13,205.80
  4. Step 4: Simplify right side
    29,854.84x = 591,293,128.51
  5. Step 5: Solve for x
    x = 591,293,128.51/29,854.84
  6. Step 6: Final answer
    x = 19,805.60

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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.