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Finding the Fourth Proportional to 28,302.82, 42,459.71 and 10,771.30

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Solution

The fourth proportional to 28,302.82, 42,459.71 and 10,771.30 is: 16,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,302.82 : 42,459.71 = 10,771.30 : x
  2. Step 2: Convert to fraction form
    28,302.82/42,459.71 = 10,771.30/x
  3. Step 3: Cross multiply
    28,302.82x = 42,459.71 × 10,771.30
  4. Step 4: Simplify right side
    28,302.82x = 457,346,274.32
  5. Step 5: Solve for x
    x = 457,346,274.32/28,302.82
  6. Step 6: Final answer
    x = 16,159.04

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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.