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Finding the Fourth Proportional to 27,677.16, 41,537.88 and 14,537.28

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Solution

The fourth proportional to 27,677.16, 41,537.88 and 14,537.28 is: 21,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.16 : 41,537.88 = 14,537.28 : x
  2. Step 2: Convert to fraction form
    27,677.16/41,537.88 = 14,537.28/x
  3. Step 3: Cross multiply
    27,677.16x = 41,537.88 × 14,537.28
  4. Step 4: Simplify right side
    27,677.16x = 603,847,792.17
  5. Step 5: Solve for x
    x = 603,847,792.17/27,677.16
  6. Step 6: Final answer
    x = 21,817.55

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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.