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Finding the Fourth Proportional to 28,510.58, 42,755.24 and 9,785.31

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Solution

The fourth proportional to 28,510.58, 42,755.24 and 9,785.31 is: 14,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,510.58 : 42,755.24 = 9,785.31 : x
  2. Step 2: Convert to fraction form
    28,510.58/42,755.24 = 9,785.31/x
  3. Step 3: Cross multiply
    28,510.58x = 42,755.24 × 9,785.31
  4. Step 4: Simplify right side
    28,510.58x = 418,373,039.28
  5. Step 5: Solve for x
    x = 418,373,039.28/28,510.58
  6. Step 6: Final answer
    x = 14,674.31

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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.