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Finding the Fourth Proportional to 13,015.66, 19,514.84 and 5,618.20

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Solution

The fourth proportional to 13,015.66, 19,514.84 and 5,618.20 is: 8,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.66 : 19,514.84 = 5,618.20 : x
  2. Step 2: Convert to fraction form
    13,015.66/19,514.84 = 5,618.20/x
  3. Step 3: Cross multiply
    13,015.66x = 19,514.84 × 5,618.20
  4. Step 4: Simplify right side
    13,015.66x = 109,638,274.09
  5. Step 5: Solve for x
    x = 109,638,274.09/13,015.66
  6. Step 6: Final answer
    x = 8,423.57

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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.