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Finding the Fourth Proportional to 12,434.67, 17,148.02 and 9,597.51

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Solution

The fourth proportional to 12,434.67, 17,148.02 and 9,597.51 is: 13,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.67 : 17,148.02 = 9,597.51 : x
  2. Step 2: Convert to fraction form
    12,434.67/17,148.02 = 9,597.51/x
  3. Step 3: Cross multiply
    12,434.67x = 17,148.02 × 9,597.51
  4. Step 4: Simplify right side
    12,434.67x = 164,578,245.44
  5. Step 5: Solve for x
    x = 164,578,245.44/12,434.67
  6. Step 6: Final answer
    x = 13,235.43

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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.