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Finding the Fourth Proportional to 12,853.41, 19,248.66 and 11,606.82

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Solution

The fourth proportional to 12,853.41, 19,248.66 and 11,606.82 is: 17,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.41 : 19,248.66 = 11,606.82 : x
  2. Step 2: Convert to fraction form
    12,853.41/19,248.66 = 11,606.82/x
  3. Step 3: Cross multiply
    12,853.41x = 19,248.66 × 11,606.82
  4. Step 4: Simplify right side
    12,853.41x = 223,415,731.86
  5. Step 5: Solve for x
    x = 223,415,731.86/12,853.41
  6. Step 6: Final answer
    x = 17,381.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.