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Finding the Fourth Proportional to 17,419.51, 24,039.14 and 9,461.87

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Solution

The fourth proportional to 17,419.51, 24,039.14 and 9,461.87 is: 13,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,419.51 : 24,039.14 = 9,461.87 : x
  2. Step 2: Convert to fraction form
    17,419.51/24,039.14 = 9,461.87/x
  3. Step 3: Cross multiply
    17,419.51x = 24,039.14 × 9,461.87
  4. Step 4: Simplify right side
    17,419.51x = 227,455,217.59
  5. Step 5: Solve for x
    x = 227,455,217.59/17,419.51
  6. Step 6: Final answer
    x = 13,057.50

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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.