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Finding the Fourth Proportional to 12,136.02, 16,693.47 and 10,364.64

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Solution

The fourth proportional to 12,136.02, 16,693.47 and 10,364.64 is: 14,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.02 : 16,693.47 = 10,364.64 : x
  2. Step 2: Convert to fraction form
    12,136.02/16,693.47 = 10,364.64/x
  3. Step 3: Cross multiply
    12,136.02x = 16,693.47 × 10,364.64
  4. Step 4: Simplify right side
    12,136.02x = 173,021,806.90
  5. Step 5: Solve for x
    x = 173,021,806.90/12,136.02
  6. Step 6: Final answer
    x = 14,256.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.