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Finding the Fourth Proportional to 13,116.58, 19,652.99 and 9,214

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Solution

The fourth proportional to 13,116.58, 19,652.99 and 9,214 is: 13,805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116.58 : 19,652.99 = 9,214 : x
  2. Step 2: Convert to fraction form
    13,116.58/19,652.99 = 9,214/x
  3. Step 3: Cross multiply
    13,116.58x = 19,652.99 × 9,214
  4. Step 4: Simplify right side
    13,116.58x = 181,082,649.86
  5. Step 5: Solve for x
    x = 181,082,649.86/13,116.58
  6. Step 6: Final answer
    x = 13,805.63

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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.