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Finding the Fourth Proportional to 23,378.16, 35,054.28 and 7,787.28

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Solution

The fourth proportional to 23,378.16, 35,054.28 and 7,787.28 is: 11,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378.16 : 35,054.28 = 7,787.28 : x
  2. Step 2: Convert to fraction form
    23,378.16/35,054.28 = 7,787.28/x
  3. Step 3: Cross multiply
    23,378.16x = 35,054.28 × 7,787.28
  4. Step 4: Simplify right side
    23,378.16x = 272,977,493.56
  5. Step 5: Solve for x
    x = 272,977,493.56/23,378.16
  6. Step 6: Final answer
    x = 11,676.60

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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.