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Finding the Fourth Proportional to 27,090.84, 40,626.16 and 9,316.46

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Solution

The fourth proportional to 27,090.84, 40,626.16 and 9,316.46 is: 13,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,090.84 : 40,626.16 = 9,316.46 : x
  2. Step 2: Convert to fraction form
    27,090.84/40,626.16 = 9,316.46/x
  3. Step 3: Cross multiply
    27,090.84x = 40,626.16 × 9,316.46
  4. Step 4: Simplify right side
    27,090.84x = 378,491,994.59
  5. Step 5: Solve for x
    x = 378,491,994.59/27,090.84
  6. Step 6: Final answer
    x = 13,971.22

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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.