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Finding the Fourth Proportional to 13,123.18, 19,662.85 and 9,220.60

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Solution

The fourth proportional to 13,123.18, 19,662.85 and 9,220.60 is: 13,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.18 : 19,662.85 = 9,220.60 : x
  2. Step 2: Convert to fraction form
    13,123.18/19,662.85 = 9,220.60/x
  3. Step 3: Cross multiply
    13,123.18x = 19,662.85 × 9,220.60
  4. Step 4: Simplify right side
    13,123.18x = 181,303,274.71
  5. Step 5: Solve for x
    x = 181,303,274.71/13,123.18
  6. Step 6: Final answer
    x = 13,815.50

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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.