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Finding the Fourth Proportional to 26,534.13, 39,802.63 and 6,812.86

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Solution

The fourth proportional to 26,534.13, 39,802.63 and 6,812.86 is: 10,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,534.13 : 39,802.63 = 6,812.86 : x
  2. Step 2: Convert to fraction form
    26,534.13/39,802.63 = 6,812.86/x
  3. Step 3: Cross multiply
    26,534.13x = 39,802.63 × 6,812.86
  4. Step 4: Simplify right side
    26,534.13x = 271,169,629.28
  5. Step 5: Solve for x
    x = 271,169,629.28/26,534.13
  6. Step 6: Final answer
    x = 10,219.65

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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.