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Finding the Fourth Proportional to 28,505.88, 42,765.12 and 9,785.49

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Solution

The fourth proportional to 28,505.88, 42,765.12 and 9,785.49 is: 14,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,505.88 : 42,765.12 = 9,785.49 : x
  2. Step 2: Convert to fraction form
    28,505.88/42,765.12 = 9,785.49/x
  3. Step 3: Cross multiply
    28,505.88x = 42,765.12 × 9,785.49
  4. Step 4: Simplify right side
    28,505.88x = 418,477,654.11
  5. Step 5: Solve for x
    x = 418,477,654.11/28,505.88
  6. Step 6: Final answer
    x = 14,680.40

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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.