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Finding the Fourth Proportional to 22,660.92, 31,271.16 and 12,589.98

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Solution

The fourth proportional to 22,660.92, 31,271.16 and 12,589.98 is: 17,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,660.92 : 31,271.16 = 12,589.98 : x
  2. Step 2: Convert to fraction form
    22,660.92/31,271.16 = 12,589.98/x
  3. Step 3: Cross multiply
    22,660.92x = 31,271.16 × 12,589.98
  4. Step 4: Simplify right side
    22,660.92x = 393,703,278.98
  5. Step 5: Solve for x
    x = 393,703,278.98/22,660.92
  6. Step 6: Final answer
    x = 17,373.67

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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.