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Finding the Fourth Proportional to 27,862.78, 41,792.16 and 13,075.06

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Solution

The fourth proportional to 27,862.78, 41,792.16 and 13,075.06 is: 19,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.78 : 41,792.16 = 13,075.06 : x
  2. Step 2: Convert to fraction form
    27,862.78/41,792.16 = 13,075.06/x
  3. Step 3: Cross multiply
    27,862.78x = 41,792.16 × 13,075.06
  4. Step 4: Simplify right side
    27,862.78x = 546,434,999.53
  5. Step 5: Solve for x
    x = 546,434,999.53/27,862.78
  6. Step 6: Final answer
    x = 19,611.65

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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.