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Finding the Fourth Proportional to 20,075.16, 27,702.79 and 11,000.47

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Solution

The fourth proportional to 20,075.16, 27,702.79 and 11,000.47 is: 15,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.16 : 27,702.79 = 11,000.47 : x
  2. Step 2: Convert to fraction form
    20,075.16/27,702.79 = 11,000.47/x
  3. Step 3: Cross multiply
    20,075.16x = 27,702.79 × 11,000.47
  4. Step 4: Simplify right side
    20,075.16x = 304,743,613.55
  5. Step 5: Solve for x
    x = 304,743,613.55/20,075.16
  6. Step 6: Final answer
    x = 15,180.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.