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Finding the Fourth Proportional to 16,989.84, 25,476.84 and 6,461.82

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Solution

The fourth proportional to 16,989.84, 25,476.84 and 6,461.82 is: 9,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,989.84 : 25,476.84 = 6,461.82 : x
  2. Step 2: Convert to fraction form
    16,989.84/25,476.84 = 6,461.82/x
  3. Step 3: Cross multiply
    16,989.84x = 25,476.84 × 6,461.82
  4. Step 4: Simplify right side
    16,989.84x = 164,626,754.25
  5. Step 5: Solve for x
    x = 164,626,754.25/16,989.84
  6. Step 6: Final answer
    x = 9,689.72

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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.