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Finding the Fourth Proportional to 28,302.94, 42,461.70 and 10,774.14

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Solution

The fourth proportional to 28,302.94, 42,461.70 and 10,774.14 is: 16,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,302.94 : 42,461.70 = 10,774.14 : x
  2. Step 2: Convert to fraction form
    28,302.94/42,461.70 = 10,774.14/x
  3. Step 3: Cross multiply
    28,302.94x = 42,461.70 × 10,774.14
  4. Step 4: Simplify right side
    28,302.94x = 457,488,300.44
  5. Step 5: Solve for x
    x = 457,488,300.44/28,302.94
  6. Step 6: Final answer
    x = 16,163.99

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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.