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Finding the Fourth Proportional to 23,176.74, 31,983.59 and 12,566.15

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Solution

The fourth proportional to 23,176.74, 31,983.59 and 12,566.15 is: 17,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176.74 : 31,983.59 = 12,566.15 : x
  2. Step 2: Convert to fraction form
    23,176.74/31,983.59 = 12,566.15/x
  3. Step 3: Cross multiply
    23,176.74x = 31,983.59 × 12,566.15
  4. Step 4: Simplify right side
    23,176.74x = 401,910,460.98
  5. Step 5: Solve for x
    x = 401,910,460.98/23,176.74
  6. Step 6: Final answer
    x = 17,341.11

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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.