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Finding the Fourth Proportional to 12,636.36, 17,434.08 and 7,258.16

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Solution

The fourth proportional to 12,636.36, 17,434.08 and 7,258.16 is: 10,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.36 : 17,434.08 = 7,258.16 : x
  2. Step 2: Convert to fraction form
    12,636.36/17,434.08 = 7,258.16/x
  3. Step 3: Cross multiply
    12,636.36x = 17,434.08 × 7,258.16
  4. Step 4: Simplify right side
    12,636.36x = 126,539,342.09
  5. Step 5: Solve for x
    x = 126,539,342.09/12,636.36
  6. Step 6: Final answer
    x = 10,013.91

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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.