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Finding the Fourth Proportional to 26,258.40, 39,387.60 and 7,790.40

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Solution

The fourth proportional to 26,258.40, 39,387.60 and 7,790.40 is: 11,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,258.40 : 39,387.60 = 7,790.40 : x
  2. Step 2: Convert to fraction form
    26,258.40/39,387.60 = 7,790.40/x
  3. Step 3: Cross multiply
    26,258.40x = 39,387.60 × 7,790.40
  4. Step 4: Simplify right side
    26,258.40x = 306,845,159.04
  5. Step 5: Solve for x
    x = 306,845,159.04/26,258.40
  6. Step 6: Final answer
    x = 11,685.60

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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.