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Finding the Fourth Proportional to 18,223.16, 25,148.45 and 10,265.67

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Solution

The fourth proportional to 18,223.16, 25,148.45 and 10,265.67 is: 14,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,223.16 : 25,148.45 = 10,265.67 : x
  2. Step 2: Convert to fraction form
    18,223.16/25,148.45 = 10,265.67/x
  3. Step 3: Cross multiply
    18,223.16x = 25,148.45 × 10,265.67
  4. Step 4: Simplify right side
    18,223.16x = 258,165,714.38
  5. Step 5: Solve for x
    x = 258,165,714.38/18,223.16
  6. Step 6: Final answer
    x = 14,166.91

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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.