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Finding the Fourth Proportional to 23,362.40, 35,049.20 and 7,780.16

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Solution

The fourth proportional to 23,362.40, 35,049.20 and 7,780.16 is: 11,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,362.40 : 35,049.20 = 7,780.16 : x
  2. Step 2: Convert to fraction form
    23,362.40/35,049.20 = 7,780.16/x
  3. Step 3: Cross multiply
    23,362.40x = 35,049.20 × 7,780.16
  4. Step 4: Simplify right side
    23,362.40x = 272,688,383.87
  5. Step 5: Solve for x
    x = 272,688,383.87/23,362.40
  6. Step 6: Final answer
    x = 11,672.10

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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.