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Finding the Fourth Proportional to 22,705.34, 31,340.23 and 14,748.71

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Solution

The fourth proportional to 22,705.34, 31,340.23 and 14,748.71 is: 20,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.34 : 31,340.23 = 14,748.71 : x
  2. Step 2: Convert to fraction form
    22,705.34/31,340.23 = 14,748.71/x
  3. Step 3: Cross multiply
    22,705.34x = 31,340.23 × 14,748.71
  4. Step 4: Simplify right side
    22,705.34x = 462,227,770.03
  5. Step 5: Solve for x
    x = 462,227,770.03/22,705.34
  6. Step 6: Final answer
    x = 20,357.67

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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.