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Finding the Fourth Proportional to 12,545.34, 18,803.40 and 5,140.81

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Solution

The fourth proportional to 12,545.34, 18,803.40 and 5,140.81 is: 7,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,545.34 : 18,803.40 = 5,140.81 : x
  2. Step 2: Convert to fraction form
    12,545.34/18,803.40 = 5,140.81/x
  3. Step 3: Cross multiply
    12,545.34x = 18,803.40 × 5,140.81
  4. Step 4: Simplify right side
    12,545.34x = 96,664,706.75
  5. Step 5: Solve for x
    x = 96,664,706.75/12,545.34
  6. Step 6: Final answer
    x = 7,705.23

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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.