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Finding the Fourth Proportional to 14,587.49, 21,838.82 and 10,855.82

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Solution

The fourth proportional to 14,587.49, 21,838.82 and 10,855.82 is: 16,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.49 : 21,838.82 = 10,855.82 : x
  2. Step 2: Convert to fraction form
    14,587.49/21,838.82 = 10,855.82/x
  3. Step 3: Cross multiply
    14,587.49x = 21,838.82 × 10,855.82
  4. Step 4: Simplify right side
    14,587.49x = 237,078,299.25
  5. Step 5: Solve for x
    x = 237,078,299.25/14,587.49
  6. Step 6: Final answer
    x = 16,252.16

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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.