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Finding the Fourth Proportional to 12,342.77, 17,026.09 and 7,565.02

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Solution

The fourth proportional to 12,342.77, 17,026.09 and 7,565.02 is: 10,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.77 : 17,026.09 = 7,565.02 : x
  2. Step 2: Convert to fraction form
    12,342.77/17,026.09 = 7,565.02/x
  3. Step 3: Cross multiply
    12,342.77x = 17,026.09 × 7,565.02
  4. Step 4: Simplify right side
    12,342.77x = 128,802,711.37
  5. Step 5: Solve for x
    x = 128,802,711.37/12,342.77
  6. Step 6: Final answer
    x = 10,435.48

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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.