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Finding the Fourth Proportional to 17,938.64, 24,754.92 and 10,486.16

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Solution

The fourth proportional to 17,938.64, 24,754.92 and 10,486.16 is: 14,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,938.64 : 24,754.92 = 10,486.16 : x
  2. Step 2: Convert to fraction form
    17,938.64/24,754.92 = 10,486.16/x
  3. Step 3: Cross multiply
    17,938.64x = 24,754.92 × 10,486.16
  4. Step 4: Simplify right side
    17,938.64x = 259,584,051.91
  5. Step 5: Solve for x
    x = 259,584,051.91/17,938.64
  6. Step 6: Final answer
    x = 14,470.67

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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.