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Finding the Fourth Proportional to 17,806.32, 24,572 and 9,739.84

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Solution

The fourth proportional to 17,806.32, 24,572 and 9,739.84 is: 13,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.32 : 24,572 = 9,739.84 : x
  2. Step 2: Convert to fraction form
    17,806.32/24,572 = 9,739.84/x
  3. Step 3: Cross multiply
    17,806.32x = 24,572 × 9,739.84
  4. Step 4: Simplify right side
    17,806.32x = 239,327,348.48
  5. Step 5: Solve for x
    x = 239,327,348.48/17,806.32
  6. Step 6: Final answer
    x = 13,440.58

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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.