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Finding the Fourth Proportional to 25,096.60, 34,631.94 and 14,485.60

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Solution

The fourth proportional to 25,096.60, 34,631.94 and 14,485.60 is: 19,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,096.60 : 34,631.94 = 14,485.60 : x
  2. Step 2: Convert to fraction form
    25,096.60/34,631.94 = 14,485.60/x
  3. Step 3: Cross multiply
    25,096.60x = 34,631.94 × 14,485.60
  4. Step 4: Simplify right side
    25,096.60x = 501,664,430.06
  5. Step 5: Solve for x
    x = 501,664,430.06/25,096.60
  6. Step 6: Final answer
    x = 19,989.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.