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Finding the Fourth Proportional to 17,829.48, 24,606.06 and 9,872.46

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Solution

The fourth proportional to 17,829.48, 24,606.06 and 9,872.46 is: 13,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.48 : 24,606.06 = 9,872.46 : x
  2. Step 2: Convert to fraction form
    17,829.48/24,606.06 = 9,872.46/x
  3. Step 3: Cross multiply
    17,829.48x = 24,606.06 × 9,872.46
  4. Step 4: Simplify right side
    17,829.48x = 242,922,343.11
  5. Step 5: Solve for x
    x = 242,922,343.11/17,829.48
  6. Step 6: Final answer
    x = 13,624.76

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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.