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Finding the Fourth Proportional to 17,764.59, 24,513.81 and 10,210.94

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Solution

The fourth proportional to 17,764.59, 24,513.81 and 10,210.94 is: 14,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.59 : 24,513.81 = 10,210.94 : x
  2. Step 2: Convert to fraction form
    17,764.59/24,513.81 = 10,210.94/x
  3. Step 3: Cross multiply
    17,764.59x = 24,513.81 × 10,210.94
  4. Step 4: Simplify right side
    17,764.59x = 250,308,920.51
  5. Step 5: Solve for x
    x = 250,308,920.51/17,764.59
  6. Step 6: Final answer
    x = 14,090.33

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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.