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Finding the Fourth Proportional to 22,582.65, 31,163.17 and 12,373.50

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Solution

The fourth proportional to 22,582.65, 31,163.17 and 12,373.50 is: 17,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.65 : 31,163.17 = 12,373.50 : x
  2. Step 2: Convert to fraction form
    22,582.65/31,163.17 = 12,373.50/x
  3. Step 3: Cross multiply
    22,582.65x = 31,163.17 × 12,373.50
  4. Step 4: Simplify right side
    22,582.65x = 385,597,484.00
  5. Step 5: Solve for x
    x = 385,597,484.00/22,582.65
  6. Step 6: Final answer
    x = 17,074.94

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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.