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Finding the Fourth Proportional to 27,854.88, 41,770.02 and 13,051.84

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Solution

The fourth proportional to 27,854.88, 41,770.02 and 13,051.84 is: 19,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.88 : 41,770.02 = 13,051.84 : x
  2. Step 2: Convert to fraction form
    27,854.88/41,770.02 = 13,051.84/x
  3. Step 3: Cross multiply
    27,854.88x = 41,770.02 × 13,051.84
  4. Step 4: Simplify right side
    27,854.88x = 545,175,617.84
  5. Step 5: Solve for x
    x = 545,175,617.84/27,854.88
  6. Step 6: Final answer
    x = 19,572.00

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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.