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Finding the Fourth Proportional to 22,892.46, 31,590.73 and 12,820.40

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Solution

The fourth proportional to 22,892.46, 31,590.73 and 12,820.40 is: 17,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.46 : 31,590.73 = 12,820.40 : x
  2. Step 2: Convert to fraction form
    22,892.46/31,590.73 = 12,820.40/x
  3. Step 3: Cross multiply
    22,892.46x = 31,590.73 × 12,820.40
  4. Step 4: Simplify right side
    22,892.46x = 405,005,794.89
  5. Step 5: Solve for x
    x = 405,005,794.89/22,892.46
  6. Step 6: Final answer
    x = 17,691.67

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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.