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Finding the Fourth Proportional to 15,735.70, 23,584.11 and 9,476.02

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Solution

The fourth proportional to 15,735.70, 23,584.11 and 9,476.02 is: 14,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.70 : 23,584.11 = 9,476.02 : x
  2. Step 2: Convert to fraction form
    15,735.70/23,584.11 = 9,476.02/x
  3. Step 3: Cross multiply
    15,735.70x = 23,584.11 × 9,476.02
  4. Step 4: Simplify right side
    15,735.70x = 223,483,498.04
  5. Step 5: Solve for x
    x = 223,483,498.04/15,735.70
  6. Step 6: Final answer
    x = 14,202.32

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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.