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Finding the Fourth Proportional to 15,723.35, 23,580.02 and 5,191.41

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Solution

The fourth proportional to 15,723.35, 23,580.02 and 5,191.41 is: 7,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723.35 : 23,580.02 = 5,191.41 : x
  2. Step 2: Convert to fraction form
    15,723.35/23,580.02 = 5,191.41/x
  3. Step 3: Cross multiply
    15,723.35x = 23,580.02 × 5,191.41
  4. Step 4: Simplify right side
    15,723.35x = 122,413,551.63
  5. Step 5: Solve for x
    x = 122,413,551.63/15,723.35
  6. Step 6: Final answer
    x = 7,785.46

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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.