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Finding the Fourth Proportional to 12,565.09, 17,342.94 and 7,262.97

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Solution

The fourth proportional to 12,565.09, 17,342.94 and 7,262.97 is: 10,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.09 : 17,342.94 = 7,262.97 : x
  2. Step 2: Convert to fraction form
    12,565.09/17,342.94 = 7,262.97/x
  3. Step 3: Cross multiply
    12,565.09x = 17,342.94 × 7,262.97
  4. Step 4: Simplify right side
    12,565.09x = 125,961,252.93
  5. Step 5: Solve for x
    x = 125,961,252.93/12,565.09
  6. Step 6: Final answer
    x = 10,024.70

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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.