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Finding the Fourth Proportional to 18,254.04, 25,178.04 and 11,184

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Solution

The fourth proportional to 18,254.04, 25,178.04 and 11,184 is: 15,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,254.04 : 25,178.04 = 11,184 : x
  2. Step 2: Convert to fraction form
    18,254.04/25,178.04 = 11,184/x
  3. Step 3: Cross multiply
    18,254.04x = 25,178.04 × 11,184
  4. Step 4: Simplify right side
    18,254.04x = 281,591,199.36
  5. Step 5: Solve for x
    x = 281,591,199.36/18,254.04
  6. Step 6: Final answer
    x = 15,426.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.