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Finding the Fourth Proportional to 15,758.43, 23,642.28 and 4,665.42

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Solution

The fourth proportional to 15,758.43, 23,642.28 and 4,665.42 is: 6,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.43 : 23,642.28 = 4,665.42 : x
  2. Step 2: Convert to fraction form
    15,758.43/23,642.28 = 4,665.42/x
  3. Step 3: Cross multiply
    15,758.43x = 23,642.28 × 4,665.42
  4. Step 4: Simplify right side
    15,758.43x = 110,301,047.75
  5. Step 5: Solve for x
    x = 110,301,047.75/15,758.43
  6. Step 6: Final answer
    x = 6,999.49

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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.