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Finding the Fourth Proportional to 14,864.10, 20,514.16 and 8,491.69

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Solution

The fourth proportional to 14,864.10, 20,514.16 and 8,491.69 is: 11,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.10 : 20,514.16 = 8,491.69 : x
  2. Step 2: Convert to fraction form
    14,864.10/20,514.16 = 8,491.69/x
  3. Step 3: Cross multiply
    14,864.10x = 20,514.16 × 8,491.69
  4. Step 4: Simplify right side
    14,864.10x = 174,199,887.33
  5. Step 5: Solve for x
    x = 174,199,887.33/14,864.10
  6. Step 6: Final answer
    x = 11,719.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.