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Finding the Fourth Proportional to 18,502.80, 27,767.64 and 7,259.76

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Solution

The fourth proportional to 18,502.80, 27,767.64 and 7,259.76 is: 10,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,502.80 : 27,767.64 = 7,259.76 : x
  2. Step 2: Convert to fraction form
    18,502.80/27,767.64 = 7,259.76/x
  3. Step 3: Cross multiply
    18,502.80x = 27,767.64 × 7,259.76
  4. Step 4: Simplify right side
    18,502.80x = 201,586,402.17
  5. Step 5: Solve for x
    x = 201,586,402.17/18,502.80
  6. Step 6: Final answer
    x = 10,894.91

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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.