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Finding the Fourth Proportional to 15,735.96, 23,608.02 and 5,875.32

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Solution

The fourth proportional to 15,735.96, 23,608.02 and 5,875.32 is: 8,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.96 : 23,608.02 = 5,875.32 : x
  2. Step 2: Convert to fraction form
    15,735.96/23,608.02 = 5,875.32/x
  3. Step 3: Cross multiply
    15,735.96x = 23,608.02 × 5,875.32
  4. Step 4: Simplify right side
    15,735.96x = 138,704,672.07
  5. Step 5: Solve for x
    x = 138,704,672.07/15,735.96
  6. Step 6: Final answer
    x = 8,814.50

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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.