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Finding the Fourth Proportional to 16,681.66, 25,022.66 and 6,814.19

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Solution

The fourth proportional to 16,681.66, 25,022.66 and 6,814.19 is: 10,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,681.66 : 25,022.66 = 6,814.19 : x
  2. Step 2: Convert to fraction form
    16,681.66/25,022.66 = 6,814.19/x
  3. Step 3: Cross multiply
    16,681.66x = 25,022.66 × 6,814.19
  4. Step 4: Simplify right side
    16,681.66x = 170,509,159.55
  5. Step 5: Solve for x
    x = 170,509,159.55/16,681.66
  6. Step 6: Final answer
    x = 10,221.35

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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.