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Finding the Fourth Proportional to 17,702.84, 26,548.32 and 8,932.16

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Solution

The fourth proportional to 17,702.84, 26,548.32 and 8,932.16 is: 13,395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.84 : 26,548.32 = 8,932.16 : x
  2. Step 2: Convert to fraction form
    17,702.84/26,548.32 = 8,932.16/x
  3. Step 3: Cross multiply
    17,702.84x = 26,548.32 × 8,932.16
  4. Step 4: Simplify right side
    17,702.84x = 237,133,841.97
  5. Step 5: Solve for x
    x = 237,133,841.97/17,702.84
  6. Step 6: Final answer
    x = 13,395.24

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Why These Related Problems?

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