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Finding the Fourth Proportional to 17,829.95, 24,606.09 and 9,872.17

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Solution

The fourth proportional to 17,829.95, 24,606.09 and 9,872.17 is: 13,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.95 : 24,606.09 = 9,872.17 : x
  2. Step 2: Convert to fraction form
    17,829.95/24,606.09 = 9,872.17/x
  3. Step 3: Cross multiply
    17,829.95x = 24,606.09 × 9,872.17
  4. Step 4: Simplify right side
    17,829.95x = 242,915,442.00
  5. Step 5: Solve for x
    x = 242,915,442.00/17,829.95
  6. Step 6: Final answer
    x = 13,624.02

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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.