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Finding the Fourth Proportional to 12,534.85, 18,803.82 and 4,215.74

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Solution

The fourth proportional to 12,534.85, 18,803.82 and 4,215.74 is: 6,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.85 : 18,803.82 = 4,215.74 : x
  2. Step 2: Convert to fraction form
    12,534.85/18,803.82 = 4,215.74/x
  3. Step 3: Cross multiply
    12,534.85x = 18,803.82 × 4,215.74
  4. Step 4: Simplify right side
    12,534.85x = 79,272,016.13
  5. Step 5: Solve for x
    x = 79,272,016.13/12,534.85
  6. Step 6: Final answer
    x = 6,324.13

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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.