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Finding the Fourth Proportional to 18,567.72, 25,623.78 and 10,184.20

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Solution

The fourth proportional to 18,567.72, 25,623.78 and 10,184.20 is: 14,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,567.72 : 25,623.78 = 10,184.20 : x
  2. Step 2: Convert to fraction form
    18,567.72/25,623.78 = 10,184.20/x
  3. Step 3: Cross multiply
    18,567.72x = 25,623.78 × 10,184.20
  4. Step 4: Simplify right side
    18,567.72x = 260,957,700.28
  5. Step 5: Solve for x
    x = 260,957,700.28/18,567.72
  6. Step 6: Final answer
    x = 14,054.38

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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.