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Finding the Fourth Proportional to 17,459.14, 24,091.81 and 10,384.20

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Solution

The fourth proportional to 17,459.14, 24,091.81 and 10,384.20 is: 14,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,459.14 : 24,091.81 = 10,384.20 : x
  2. Step 2: Convert to fraction form
    17,459.14/24,091.81 = 10,384.20/x
  3. Step 3: Cross multiply
    17,459.14x = 24,091.81 × 10,384.20
  4. Step 4: Simplify right side
    17,459.14x = 250,174,173.40
  5. Step 5: Solve for x
    x = 250,174,173.40/17,459.14
  6. Step 6: Final answer
    x = 14,329.12

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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.