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Finding the Fourth Proportional to 10,024.88, 13,829.47 and 6,623.23

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Solution

The fourth proportional to 10,024.88, 13,829.47 and 6,623.23 is: 9,136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.88 : 13,829.47 = 6,623.23 : x
  2. Step 2: Convert to fraction form
    10,024.88/13,829.47 = 6,623.23/x
  3. Step 3: Cross multiply
    10,024.88x = 13,829.47 × 6,623.23
  4. Step 4: Simplify right side
    10,024.88x = 91,595,709.46
  5. Step 5: Solve for x
    x = 91,595,709.46/10,024.88
  6. Step 6: Final answer
    x = 9,136.84

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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.