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Finding the Fourth Proportional to 28,231.97, 42,341.06 and 9,507.13

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Solution

The fourth proportional to 28,231.97, 42,341.06 and 9,507.13 is: 14,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,231.97 : 42,341.06 = 9,507.13 : x
  2. Step 2: Convert to fraction form
    28,231.97/42,341.06 = 9,507.13/x
  3. Step 3: Cross multiply
    28,231.97x = 42,341.06 × 9,507.13
  4. Step 4: Simplify right side
    28,231.97x = 402,541,879.67
  5. Step 5: Solve for x
    x = 402,541,879.67/28,231.97
  6. Step 6: Final answer
    x = 14,258.37

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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.