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Finding the Fourth Proportional to 22,683.40, 34,020.24 and 7,099

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Solution

The fourth proportional to 22,683.40, 34,020.24 and 7,099 is: 10,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.40 : 34,020.24 = 7,099 : x
  2. Step 2: Convert to fraction form
    22,683.40/34,020.24 = 7,099/x
  3. Step 3: Cross multiply
    22,683.40x = 34,020.24 × 7,099
  4. Step 4: Simplify right side
    22,683.40x = 241,509,683.76
  5. Step 5: Solve for x
    x = 241,509,683.76/22,683.40
  6. Step 6: Final answer
    x = 10,646.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.