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Finding the Fourth Proportional to 17,533.96, 24,192.88 and 10,459

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Solution

The fourth proportional to 17,533.96, 24,192.88 and 10,459 is: 14,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.96 : 24,192.88 = 10,459 : x
  2. Step 2: Convert to fraction form
    17,533.96/24,192.88 = 10,459/x
  3. Step 3: Cross multiply
    17,533.96x = 24,192.88 × 10,459
  4. Step 4: Simplify right side
    17,533.96x = 253,033,331.92
  5. Step 5: Solve for x
    x = 253,033,331.92/17,533.96
  6. Step 6: Final answer
    x = 14,431.04

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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.