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Finding the Fourth Proportional to 27,312.39, 40,969.60 and 9,782.19

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Solution

The fourth proportional to 27,312.39, 40,969.60 and 9,782.19 is: 14,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,312.39 : 40,969.60 = 9,782.19 : x
  2. Step 2: Convert to fraction form
    27,312.39/40,969.60 = 9,782.19/x
  3. Step 3: Cross multiply
    27,312.39x = 40,969.60 × 9,782.19
  4. Step 4: Simplify right side
    27,312.39x = 400,772,386.97
  5. Step 5: Solve for x
    x = 400,772,386.97/27,312.39
  6. Step 6: Final answer
    x = 14,673.65

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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.