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Finding the Fourth Proportional to 14,416.71, 19,895.06 and 8,129.09

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Solution

The fourth proportional to 14,416.71, 19,895.06 and 8,129.09 is: 11,218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.71 : 19,895.06 = 8,129.09 : x
  2. Step 2: Convert to fraction form
    14,416.71/19,895.06 = 8,129.09/x
  3. Step 3: Cross multiply
    14,416.71x = 19,895.06 × 8,129.09
  4. Step 4: Simplify right side
    14,416.71x = 161,728,654.14
  5. Step 5: Solve for x
    x = 161,728,654.14/14,416.71
  6. Step 6: Final answer
    x = 11,218.14

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1.5x scale

Why These Related Problems?

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