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Finding the Fourth Proportional to 18,564.85, 25,619.15 and 10,498.38

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Solution

The fourth proportional to 18,564.85, 25,619.15 and 10,498.38 is: 14,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.85 : 25,619.15 = 10,498.38 : x
  2. Step 2: Convert to fraction form
    18,564.85/25,619.15 = 10,498.38/x
  3. Step 3: Cross multiply
    18,564.85x = 25,619.15 × 10,498.38
  4. Step 4: Simplify right side
    18,564.85x = 268,959,502.15
  5. Step 5: Solve for x
    x = 268,959,502.15/18,564.85
  6. Step 6: Final answer
    x = 14,487.57

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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.