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Finding the Fourth Proportional to 14,368.82, 21,553.23 and 8,208.50

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Solution

The fourth proportional to 14,368.82, 21,553.23 and 8,208.50 is: 12,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.82 : 21,553.23 = 8,208.50 : x
  2. Step 2: Convert to fraction form
    14,368.82/21,553.23 = 8,208.50/x
  3. Step 3: Cross multiply
    14,368.82x = 21,553.23 × 8,208.50
  4. Step 4: Simplify right side
    14,368.82x = 176,919,688.46
  5. Step 5: Solve for x
    x = 176,919,688.46/14,368.82
  6. Step 6: Final answer
    x = 12,312.75

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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.