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Finding the Fourth Proportional to 14,164.85, 19,547.99 and 8,116.17

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Solution

The fourth proportional to 14,164.85, 19,547.99 and 8,116.17 is: 11,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.85 : 19,547.99 = 8,116.17 : x
  2. Step 2: Convert to fraction form
    14,164.85/19,547.99 = 8,116.17/x
  3. Step 3: Cross multiply
    14,164.85x = 19,547.99 × 8,116.17
  4. Step 4: Simplify right side
    14,164.85x = 158,654,769.42
  5. Step 5: Solve for x
    x = 158,654,769.42/14,164.85
  6. Step 6: Final answer
    x = 11,200.60

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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.