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Finding the Fourth Proportional to 18,347.09, 27,513.64 and 7,810.46

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Solution

The fourth proportional to 18,347.09, 27,513.64 and 7,810.46 is: 11,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,347.09 : 27,513.64 = 7,810.46 : x
  2. Step 2: Convert to fraction form
    18,347.09/27,513.64 = 7,810.46/x
  3. Step 3: Cross multiply
    18,347.09x = 27,513.64 × 7,810.46
  4. Step 4: Simplify right side
    18,347.09x = 214,894,184.67
  5. Step 5: Solve for x
    x = 214,894,184.67/18,347.09
  6. Step 6: Final answer
    x = 11,712.71

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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.