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Finding the Fourth Proportional to 14,192.19, 21,277.44 and 8,644.50

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Solution

The fourth proportional to 14,192.19, 21,277.44 and 8,644.50 is: 12,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.19 : 21,277.44 = 8,644.50 : x
  2. Step 2: Convert to fraction form
    14,192.19/21,277.44 = 8,644.50/x
  3. Step 3: Cross multiply
    14,192.19x = 21,277.44 × 8,644.50
  4. Step 4: Simplify right side
    14,192.19x = 183,932,830.08
  5. Step 5: Solve for x
    x = 183,932,830.08/14,192.19
  6. Step 6: Final answer
    x = 12,960.14

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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.