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Finding the Fourth Proportional to 28,258.50, 42,395.31 and 9,790.50

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Solution

The fourth proportional to 28,258.50, 42,395.31 and 9,790.50 is: 14,688.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,258.50 : 42,395.31 = 9,790.50 : x
  2. Step 2: Convert to fraction form
    28,258.50/42,395.31 = 9,790.50/x
  3. Step 3: Cross multiply
    28,258.50x = 42,395.31 × 9,790.50
  4. Step 4: Simplify right side
    28,258.50x = 415,071,282.56
  5. Step 5: Solve for x
    x = 415,071,282.56/28,258.50
  6. Step 6: Final answer
    x = 14,688.37

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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.