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Finding the Fourth Proportional to 14,199.83, 21,283.59 and 8,640.93

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Solution

The fourth proportional to 14,199.83, 21,283.59 and 8,640.93 is: 12,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199.83 : 21,283.59 = 8,640.93 : x
  2. Step 2: Convert to fraction form
    14,199.83/21,283.59 = 8,640.93/x
  3. Step 3: Cross multiply
    14,199.83x = 21,283.59 × 8,640.93
  4. Step 4: Simplify right side
    14,199.83x = 183,910,011.34
  5. Step 5: Solve for x
    x = 183,910,011.34/14,199.83
  6. Step 6: Final answer
    x = 12,951.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.