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Finding the Fourth Proportional to 17,412.69, 24,029.33 and 9,858.81

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Solution

The fourth proportional to 17,412.69, 24,029.33 and 9,858.81 is: 13,605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.69 : 24,029.33 = 9,858.81 : x
  2. Step 2: Convert to fraction form
    17,412.69/24,029.33 = 9,858.81/x
  3. Step 3: Cross multiply
    17,412.69x = 24,029.33 × 9,858.81
  4. Step 4: Simplify right side
    17,412.69x = 236,900,549.60
  5. Step 5: Solve for x
    x = 236,900,549.60/17,412.69
  6. Step 6: Final answer
    x = 13,605.05

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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.