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Finding the Fourth Proportional to 18,543.50, 25,590.06 and 10,160

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Solution

The fourth proportional to 18,543.50, 25,590.06 and 10,160 is: 14,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.50 : 25,590.06 = 10,160 : x
  2. Step 2: Convert to fraction form
    18,543.50/25,590.06 = 10,160/x
  3. Step 3: Cross multiply
    18,543.50x = 25,590.06 × 10,160
  4. Step 4: Simplify right side
    18,543.50x = 259,995,009.60
  5. Step 5: Solve for x
    x = 259,995,009.60/18,543.50
  6. Step 6: Final answer
    x = 14,020.82

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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.