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Finding the Fourth Proportional to 14,106.41, 21,159.85 and 6,709.38

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Solution

The fourth proportional to 14,106.41, 21,159.85 and 6,709.38 is: 10,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.41 : 21,159.85 = 6,709.38 : x
  2. Step 2: Convert to fraction form
    14,106.41/21,159.85 = 6,709.38/x
  3. Step 3: Cross multiply
    14,106.41x = 21,159.85 × 6,709.38
  4. Step 4: Simplify right side
    14,106.41x = 141,969,474.39
  5. Step 5: Solve for x
    x = 141,969,474.39/14,106.41
  6. Step 6: Final answer
    x = 10,064.18

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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.