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Finding the Fourth Proportional to 23,123.85, 34,683.99 and 6,483

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Solution

The fourth proportional to 23,123.85, 34,683.99 and 6,483 is: 9,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,123.85 : 34,683.99 = 6,483 : x
  2. Step 2: Convert to fraction form
    23,123.85/34,683.99 = 6,483/x
  3. Step 3: Cross multiply
    23,123.85x = 34,683.99 × 6,483
  4. Step 4: Simplify right side
    23,123.85x = 224,856,307.17
  5. Step 5: Solve for x
    x = 224,856,307.17/23,123.85
  6. Step 6: Final answer
    x = 9,724.00

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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.