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Finding the Fourth Proportional to 27,758.68, 38,307.55 and 15,184.24

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Solution

The fourth proportional to 27,758.68, 38,307.55 and 15,184.24 is: 20,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.68 : 38,307.55 = 15,184.24 : x
  2. Step 2: Convert to fraction form
    27,758.68/38,307.55 = 15,184.24/x
  3. Step 3: Cross multiply
    27,758.68x = 38,307.55 × 15,184.24
  4. Step 4: Simplify right side
    27,758.68x = 581,671,033.01
  5. Step 5: Solve for x
    x = 581,671,033.01/27,758.68
  6. Step 6: Final answer
    x = 20,954.56

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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.