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Finding the Fourth Proportional to 15,772.77, 23,655.04 and 4,676.48

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Solution

The fourth proportional to 15,772.77, 23,655.04 and 4,676.48 is: 7,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.77 : 23,655.04 = 4,676.48 : x
  2. Step 2: Convert to fraction form
    15,772.77/23,655.04 = 4,676.48/x
  3. Step 3: Cross multiply
    15,772.77x = 23,655.04 × 4,676.48
  4. Step 4: Simplify right side
    15,772.77x = 110,622,280.20
  5. Step 5: Solve for x
    x = 110,622,280.20/15,772.77
  6. Step 6: Final answer
    x = 7,013.50

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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.