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Finding the Fourth Proportional to 16,602.84, 24,915.06 and 6,214.50

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Solution

The fourth proportional to 16,602.84, 24,915.06 and 6,214.50 is: 9,325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,602.84 : 24,915.06 = 6,214.50 : x
  2. Step 2: Convert to fraction form
    16,602.84/24,915.06 = 6,214.50/x
  3. Step 3: Cross multiply
    16,602.84x = 24,915.06 × 6,214.50
  4. Step 4: Simplify right side
    16,602.84x = 154,834,640.37
  5. Step 5: Solve for x
    x = 154,834,640.37/16,602.84
  6. Step 6: Final answer
    x = 9,325.79

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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.