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Finding the Fourth Proportional to 27,802.40, 41,689.20 and 10,263.20

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Solution

The fourth proportional to 27,802.40, 41,689.20 and 10,263.20 is: 15,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.40 : 41,689.20 = 10,263.20 : x
  2. Step 2: Convert to fraction form
    27,802.40/41,689.20 = 10,263.20/x
  3. Step 3: Cross multiply
    27,802.40x = 41,689.20 × 10,263.20
  4. Step 4: Simplify right side
    27,802.40x = 427,864,597.44
  5. Step 5: Solve for x
    x = 427,864,597.44/27,802.40
  6. Step 6: Final answer
    x = 15,389.48

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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.