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Finding the Fourth Proportional to 12,818.69, 17,685.64 and 7,152.51

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Solution

The fourth proportional to 12,818.69, 17,685.64 and 7,152.51 is: 9,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.69 : 17,685.64 = 7,152.51 : x
  2. Step 2: Convert to fraction form
    12,818.69/17,685.64 = 7,152.51/x
  3. Step 3: Cross multiply
    12,818.69x = 17,685.64 × 7,152.51
  4. Step 4: Simplify right side
    12,818.69x = 126,496,716.96
  5. Step 5: Solve for x
    x = 126,496,716.96/12,818.69
  6. Step 6: Final answer
    x = 9,868.15

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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.