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Finding the Fourth Proportional to 22,712.90, 31,343.57 and 12,641.16

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Solution

The fourth proportional to 22,712.90, 31,343.57 and 12,641.16 is: 17,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.90 : 31,343.57 = 12,641.16 : x
  2. Step 2: Convert to fraction form
    22,712.90/31,343.57 = 12,641.16/x
  3. Step 3: Cross multiply
    22,712.90x = 31,343.57 × 12,641.16
  4. Step 4: Simplify right side
    22,712.90x = 396,219,020.14
  5. Step 5: Solve for x
    x = 396,219,020.14/22,712.90
  6. Step 6: Final answer
    x = 17,444.67

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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.