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Finding the Fourth Proportional to 14,065.50, 19,412.82 and 8,476.50

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Solution

The fourth proportional to 14,065.50, 19,412.82 and 8,476.50 is: 11,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.50 : 19,412.82 = 8,476.50 : x
  2. Step 2: Convert to fraction form
    14,065.50/19,412.82 = 8,476.50/x
  3. Step 3: Cross multiply
    14,065.50x = 19,412.82 × 8,476.50
  4. Step 4: Simplify right side
    14,065.50x = 164,552,768.73
  5. Step 5: Solve for x
    x = 164,552,768.73/14,065.50
  6. Step 6: Final answer
    x = 11,699.03

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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.