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Finding the Fourth Proportional to 17,204.69, 23,742.51 and 10,039.53

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Solution

The fourth proportional to 17,204.69, 23,742.51 and 10,039.53 is: 13,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.69 : 23,742.51 = 10,039.53 : x
  2. Step 2: Convert to fraction form
    17,204.69/23,742.51 = 10,039.53/x
  3. Step 3: Cross multiply
    17,204.69x = 23,742.51 × 10,039.53
  4. Step 4: Simplify right side
    17,204.69x = 238,363,641.42
  5. Step 5: Solve for x
    x = 238,363,641.42/17,204.69
  6. Step 6: Final answer
    x = 13,854.57

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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.