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Finding the Fourth Proportional to 14,222.72, 21,333.99 and 7,652

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Solution

The fourth proportional to 14,222.72, 21,333.99 and 7,652 is: 11,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.72 : 21,333.99 = 7,652 : x
  2. Step 2: Convert to fraction form
    14,222.72/21,333.99 = 7,652/x
  3. Step 3: Cross multiply
    14,222.72x = 21,333.99 × 7,652
  4. Step 4: Simplify right side
    14,222.72x = 163,247,691.48
  5. Step 5: Solve for x
    x = 163,247,691.48/14,222.72
  6. Step 6: Final answer
    x = 11,477.95

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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.