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Finding the Fourth Proportional to 17,564.20, 24,239.22 and 10,011.67

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Solution

The fourth proportional to 17,564.20, 24,239.22 and 10,011.67 is: 13,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.20 : 24,239.22 = 10,011.67 : x
  2. Step 2: Convert to fraction form
    17,564.20/24,239.22 = 10,011.67/x
  3. Step 3: Cross multiply
    17,564.20x = 24,239.22 × 10,011.67
  4. Step 4: Simplify right side
    17,564.20x = 242,675,071.70
  5. Step 5: Solve for x
    x = 242,675,071.70/17,564.20
  6. Step 6: Final answer
    x = 13,816.46

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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.