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Finding the Fourth Proportional to 17,955.72, 24,780.06 and 12,357

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Solution

The fourth proportional to 17,955.72, 24,780.06 and 12,357 is: 17,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,955.72 : 24,780.06 = 12,357 : x
  2. Step 2: Convert to fraction form
    17,955.72/24,780.06 = 12,357/x
  3. Step 3: Cross multiply
    17,955.72x = 24,780.06 × 12,357
  4. Step 4: Simplify right side
    17,955.72x = 306,207,201.42
  5. Step 5: Solve for x
    x = 306,207,201.42/17,955.72
  6. Step 6: Final answer
    x = 17,053.46

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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.