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Finding the Fourth Proportional to 28,427.96, 42,642.12 and 8,705

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Solution

The fourth proportional to 28,427.96, 42,642.12 and 8,705 is: 13,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,427.96 : 42,642.12 = 8,705 : x
  2. Step 2: Convert to fraction form
    28,427.96/42,642.12 = 8,705/x
  3. Step 3: Cross multiply
    28,427.96x = 42,642.12 × 8,705
  4. Step 4: Simplify right side
    28,427.96x = 371,199,654.60
  5. Step 5: Solve for x
    x = 371,199,654.60/28,427.96
  6. Step 6: Final answer
    x = 13,057.56

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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.