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Finding the Fourth Proportional to 23,505.70, 35,225.40 and 12,980.46

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Solution

The fourth proportional to 23,505.70, 35,225.40 and 12,980.46 is: 19,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.70 : 35,225.40 = 12,980.46 : x
  2. Step 2: Convert to fraction form
    23,505.70/35,225.40 = 12,980.46/x
  3. Step 3: Cross multiply
    23,505.70x = 35,225.40 × 12,980.46
  4. Step 4: Simplify right side
    23,505.70x = 457,241,895.68
  5. Step 5: Solve for x
    x = 457,241,895.68/23,505.70
  6. Step 6: Final answer
    x = 19,452.38

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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.