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Finding the Fourth Proportional to 15,920.10, 23,874.06 and 4,823.10

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Solution

The fourth proportional to 15,920.10, 23,874.06 and 4,823.10 is: 7,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.10 : 23,874.06 = 4,823.10 : x
  2. Step 2: Convert to fraction form
    15,920.10/23,874.06 = 4,823.10/x
  3. Step 3: Cross multiply
    15,920.10x = 23,874.06 × 4,823.10
  4. Step 4: Simplify right side
    15,920.10x = 115,146,978.79
  5. Step 5: Solve for x
    x = 115,146,978.79/15,920.10
  6. Step 6: Final answer
    x = 7,232.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.