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Finding the Fourth Proportional to 15,722.67, 23,574.96 and 9,403.86

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Solution

The fourth proportional to 15,722.67, 23,574.96 and 9,403.86 is: 14,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.67 : 23,574.96 = 9,403.86 : x
  2. Step 2: Convert to fraction form
    15,722.67/23,574.96 = 9,403.86/x
  3. Step 3: Cross multiply
    15,722.67x = 23,574.96 × 9,403.86
  4. Step 4: Simplify right side
    15,722.67x = 221,695,623.35
  5. Step 5: Solve for x
    x = 221,695,623.35/15,722.67
  6. Step 6: Final answer
    x = 14,100.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.