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Finding the Fourth Proportional to 17,689.84, 26,534.78 and 6,596.36

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Solution

The fourth proportional to 17,689.84, 26,534.78 and 6,596.36 is: 9,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.84 : 26,534.78 = 6,596.36 : x
  2. Step 2: Convert to fraction form
    17,689.84/26,534.78 = 6,596.36/x
  3. Step 3: Cross multiply
    17,689.84x = 26,534.78 × 6,596.36
  4. Step 4: Simplify right side
    17,689.84x = 175,032,961.40
  5. Step 5: Solve for x
    x = 175,032,961.40/17,689.84
  6. Step 6: Final answer
    x = 9,894.55

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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.