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Finding the Fourth Proportional to 22,953.62, 31,689.16 and 17,533.38

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Solution

The fourth proportional to 22,953.62, 31,689.16 and 17,533.38 is: 24,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.62 : 31,689.16 = 17,533.38 : x
  2. Step 2: Convert to fraction form
    22,953.62/31,689.16 = 17,533.38/x
  3. Step 3: Cross multiply
    22,953.62x = 31,689.16 × 17,533.38
  4. Step 4: Simplify right side
    22,953.62x = 555,618,084.16
  5. Step 5: Solve for x
    x = 555,618,084.16/22,953.62
  6. Step 6: Final answer
    x = 24,206.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.