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Finding the Fourth Proportional to 14,532.50, 21,806.62 and 11,252

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Solution

The fourth proportional to 14,532.50, 21,806.62 and 11,252 is: 16,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.50 : 21,806.62 = 11,252 : x
  2. Step 2: Convert to fraction form
    14,532.50/21,806.62 = 11,252/x
  3. Step 3: Cross multiply
    14,532.50x = 21,806.62 × 11,252
  4. Step 4: Simplify right side
    14,532.50x = 245,368,088.24
  5. Step 5: Solve for x
    x = 245,368,088.24/14,532.50
  6. Step 6: Final answer
    x = 16,884.09

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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.