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Finding the Fourth Proportional to 23,176.85, 31,984.07 and 12,566.52

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Solution

The fourth proportional to 23,176.85, 31,984.07 and 12,566.52 is: 17,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176.85 : 31,984.07 = 12,566.52 : x
  2. Step 2: Convert to fraction form
    23,176.85/31,984.07 = 12,566.52/x
  3. Step 3: Cross multiply
    23,176.85x = 31,984.07 × 12,566.52
  4. Step 4: Simplify right side
    23,176.85x = 401,928,392.50
  5. Step 5: Solve for x
    x = 401,928,392.50/23,176.85
  6. Step 6: Final answer
    x = 17,341.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.