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Finding the Fourth Proportional to 16,570.17, 22,867.82 and 9,497.05

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Solution

The fourth proportional to 16,570.17, 22,867.82 and 9,497.05 is: 13,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.17 : 22,867.82 = 9,497.05 : x
  2. Step 2: Convert to fraction form
    16,570.17/22,867.82 = 9,497.05/x
  3. Step 3: Cross multiply
    16,570.17x = 22,867.82 × 9,497.05
  4. Step 4: Simplify right side
    16,570.17x = 217,176,760.89
  5. Step 5: Solve for x
    x = 217,176,760.89/16,570.17
  6. Step 6: Final answer
    x = 13,106.49

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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.