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Finding the Fourth Proportional to 27,770.40, 41,655.60 and 13,916.16

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Solution

The fourth proportional to 27,770.40, 41,655.60 and 13,916.16 is: 20,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.40 : 41,655.60 = 13,916.16 : x
  2. Step 2: Convert to fraction form
    27,770.40/41,655.60 = 13,916.16/x
  3. Step 3: Cross multiply
    27,770.40x = 41,655.60 × 13,916.16
  4. Step 4: Simplify right side
    27,770.40x = 579,685,994.50
  5. Step 5: Solve for x
    x = 579,685,994.50/27,770.40
  6. Step 6: Final answer
    x = 20,874.24

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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.