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Finding the Fourth Proportional to 16,537.78, 24,798.16 and 4,849.48

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Solution

The fourth proportional to 16,537.78, 24,798.16 and 4,849.48 is: 7,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.78 : 24,798.16 = 4,849.48 : x
  2. Step 2: Convert to fraction form
    16,537.78/24,798.16 = 4,849.48/x
  3. Step 3: Cross multiply
    16,537.78x = 24,798.16 × 4,849.48
  4. Step 4: Simplify right side
    16,537.78x = 120,258,032.72
  5. Step 5: Solve for x
    x = 120,258,032.72/16,537.78
  6. Step 6: Final answer
    x = 7,271.72

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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.