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Finding the Fourth Proportional to 10,563.57, 14,545.80 and 10,021.41

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Solution

The fourth proportional to 10,563.57, 14,545.80 and 10,021.41 is: 13,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.57 : 14,545.80 = 10,021.41 : x
  2. Step 2: Convert to fraction form
    10,563.57/14,545.80 = 10,021.41/x
  3. Step 3: Cross multiply
    10,563.57x = 14,545.80 × 10,021.41
  4. Step 4: Simplify right side
    10,563.57x = 145,769,425.58
  5. Step 5: Solve for x
    x = 145,769,425.58/10,563.57
  6. Step 6: Final answer
    x = 13,799.26

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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.