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Finding the Fourth Proportional to 15,883.50, 23,825.86 and 5,354.01

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Solution

The fourth proportional to 15,883.50, 23,825.86 and 5,354.01 is: 8,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.50 : 23,825.86 = 5,354.01 : x
  2. Step 2: Convert to fraction form
    15,883.50/23,825.86 = 5,354.01/x
  3. Step 3: Cross multiply
    15,883.50x = 23,825.86 × 5,354.01
  4. Step 4: Simplify right side
    15,883.50x = 127,563,746.80
  5. Step 5: Solve for x
    x = 127,563,746.80/15,883.50
  6. Step 6: Final answer
    x = 8,031.21

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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.