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Finding the Fourth Proportional to 22,762.61, 31,412.69 and 13,204.71

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Solution

The fourth proportional to 22,762.61, 31,412.69 and 13,204.71 is: 18,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.61 : 31,412.69 = 13,204.71 : x
  2. Step 2: Convert to fraction form
    22,762.61/31,412.69 = 13,204.71/x
  3. Step 3: Cross multiply
    22,762.61x = 31,412.69 × 13,204.71
  4. Step 4: Simplify right side
    22,762.61x = 414,795,395.75
  5. Step 5: Solve for x
    x = 414,795,395.75/22,762.61
  6. Step 6: Final answer
    x = 18,222.67

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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.