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Finding the Fourth Proportional to 18,054.63, 24,914.25 and 11,340

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Solution

The fourth proportional to 18,054.63, 24,914.25 and 11,340 is: 15,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,054.63 : 24,914.25 = 11,340 : x
  2. Step 2: Convert to fraction form
    18,054.63/24,914.25 = 11,340/x
  3. Step 3: Cross multiply
    18,054.63x = 24,914.25 × 11,340
  4. Step 4: Simplify right side
    18,054.63x = 282,527,595
  5. Step 5: Solve for x
    x = 282,527,595/18,054.63
  6. Step 6: Final answer
    x = 15,648.48

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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.