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Finding the Fourth Proportional to 12,566.58, 17,336.91 and 7,260.42

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Solution

The fourth proportional to 12,566.58, 17,336.91 and 7,260.42 is: 10,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.58 : 17,336.91 = 7,260.42 : x
  2. Step 2: Convert to fraction form
    12,566.58/17,336.91 = 7,260.42/x
  3. Step 3: Cross multiply
    12,566.58x = 17,336.91 × 7,260.42
  4. Step 4: Simplify right side
    12,566.58x = 125,873,248.10
  5. Step 5: Solve for x
    x = 125,873,248.10/12,566.58
  6. Step 6: Final answer
    x = 10,016.51

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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.