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Finding the Fourth Proportional to 18,402.24, 27,603 and 5,254.50

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Solution

The fourth proportional to 18,402.24, 27,603 and 5,254.50 is: 7,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,402.24 : 27,603 = 5,254.50 : x
  2. Step 2: Convert to fraction form
    18,402.24/27,603 = 5,254.50/x
  3. Step 3: Cross multiply
    18,402.24x = 27,603 × 5,254.50
  4. Step 4: Simplify right side
    18,402.24x = 145,039,963.50
  5. Step 5: Solve for x
    x = 145,039,963.50/18,402.24
  6. Step 6: Final answer
    x = 7,881.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.