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Finding the Fourth Proportional to 12,434.58, 17,156.61 and 7,397.46

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Solution

The fourth proportional to 12,434.58, 17,156.61 and 7,397.46 is: 10,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.58 : 17,156.61 = 7,397.46 : x
  2. Step 2: Convert to fraction form
    12,434.58/17,156.61 = 7,397.46/x
  3. Step 3: Cross multiply
    12,434.58x = 17,156.61 × 7,397.46
  4. Step 4: Simplify right side
    12,434.58x = 126,915,336.21
  5. Step 5: Solve for x
    x = 126,915,336.21/12,434.58
  6. Step 6: Final answer
    x = 10,206.64

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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.