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Finding the Fourth Proportional to 18,661.86, 25,753.32 and 10,278.36

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Solution

The fourth proportional to 18,661.86, 25,753.32 and 10,278.36 is: 14,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661.86 : 25,753.32 = 10,278.36 : x
  2. Step 2: Convert to fraction form
    18,661.86/25,753.32 = 10,278.36/x
  3. Step 3: Cross multiply
    18,661.86x = 25,753.32 × 10,278.36
  4. Step 4: Simplify right side
    18,661.86x = 264,701,894.16
  5. Step 5: Solve for x
    x = 264,701,894.16/18,661.86
  6. Step 6: Final answer
    x = 14,184.11

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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.