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Finding the Fourth Proportional to 12,557.77, 18,823.51 and 4,234.90

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Solution

The fourth proportional to 12,557.77, 18,823.51 and 4,234.90 is: 6,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.77 : 18,823.51 = 4,234.90 : x
  2. Step 2: Convert to fraction form
    12,557.77/18,823.51 = 4,234.90/x
  3. Step 3: Cross multiply
    12,557.77x = 18,823.51 × 4,234.90
  4. Step 4: Simplify right side
    12,557.77x = 79,715,682.50
  5. Step 5: Solve for x
    x = 79,715,682.50/12,557.77
  6. Step 6: Final answer
    x = 6,347.92

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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.