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Finding the Fourth Proportional to 14,705.16, 20,290.90 and 8,416.36

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Solution

The fourth proportional to 14,705.16, 20,290.90 and 8,416.36 is: 11,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.16 : 20,290.90 = 8,416.36 : x
  2. Step 2: Convert to fraction form
    14,705.16/20,290.90 = 8,416.36/x
  3. Step 3: Cross multiply
    14,705.16x = 20,290.90 × 8,416.36
  4. Step 4: Simplify right side
    14,705.16x = 170,775,519.12
  5. Step 5: Solve for x
    x = 170,775,519.12/14,705.16
  6. Step 6: Final answer
    x = 11,613.31

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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.